# Functions with Base b

### Topic Page

Functions with Base b### Questions

- What is the exponential form of #log_b 35=3#?
- What is the product rule of logarithms?
- What is the quotient rule of logarithms?
- What is the exponent rule of logarithms?
- What is #log_b 1#?
- What are some identity rules for logarithms?
- What is #log_b b^x#?
- What is the reciprocal of #log_b a#?
- What does a logarithmic function look like?
- How do I graph logarithmic functions on a TI-84?
- How do you express a sum of logarithms for #log_5(125*25)#?
- How do you express a single logarithm for #log_e *M + log_e *T#?
- How do you express a difference of logarithm #log_a *(x/y)#?
- How do you express in terms of logarithms #log_b((p^2q^5)/(m^4b^9))#?
- How do you express as a single logarithm & simplify #(1/2)log_a *x + 4log_a *y - 3log_a *x#?
- Given #log_b3= 0.5283# and #log_b5=0.7740#, how do you find #log_b(5/3)#?
- How do you use the properties of logarithms to rewrite(expand) each logarithmic expression #log_2 ((x^5)/ (y^3 z^4))#?
- How do you use the properties of logarithms to rewrite(contract) each logarithmic expression #2log_2(64) + log_2(2)#?
- How do you use the properties of logarithms to rewrite(expand) each logarithmic expression #log_b(yz^6))#?
- How do you use the properties of logarithms to find the exact value of #log_2 6*log_6 4#?
- How do you solve #4log_4 7#?
- If #log_a 36=2.2265# and #log_a 4=.8614#, how do you evaluate #log_a 9#?
- How do you simplify # log_8 7 – log_8 s + log_8 t – log_8 4#?
- How do you simplify #7 log_3 k + 6 log_3 m – 9 log_3 n#?
- How do you simplify #log_9 7x + log_9 x + log_9 5x#?
- How do you simplify #log_3 5 + 5log_3 2#?
- How do you write as a single logarithm #Log_b 5 +1/3 Log_bx#?
- How do you write as a single logarithm #Log_b 2 + Log_bx- Log_by#?
- How do you write as a single logarithm #1/2 Log _b3 +1/2 Log_bx - 3 Log_b Z#?
- How do you write as a single log for #log_460 - log_44 + log_4x #?
- How do you write as a single log for #1/3log_3x + 2/3log_3x #?
- How do you write as a single log for #log_6 60 - log_6 10 #?
- How do you convert #log_(3) 29# to a natural logarithm?
- How do you rewrite #Log_3 8 - 4log_3(x^2)# as a single log?
- How do you condense #log_10 x - 4log_10 y#?
- How do you condense #[1 - 5log_3x]/2 #?
- How do you condense #2log_3 6 - log_3 4 #?
- How do you use the Change of Base Formula and a calculator to evaluate #log_7 593#?
- How do you use the Change of Base Formula and a calculator to evaluate #log_sqrt{5} (8)#?
- How do you use the Change of Base Formula and a calculator to evaluate #log_pi (sqrt{2})#?
- How do you use the Change of Base Formula and a calculator to evaluate #log_2 8#?
- How do you use the Change of Base Formula and a calculator to evaluate #log_6 14#?
- How do you use the Change of Base Formula and a calculator to evaluate #log_7 648#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_3 10#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_2 sqrt2#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_5 44#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_5 18#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_(1/2) 15#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_4 72#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_9 2.15#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_33 8#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_4 24#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_4 72#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_3 48#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_5 7#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_6 11#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_2 15#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_pi 14.2#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_(1/2) 5#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_6 120#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_15 7#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log (1/5)^3#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_2 6 +log_3 5#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_2 12#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_3 40#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_5 3#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_2 1#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_5 10#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_2 8#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_3 6#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_9 3#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_8 3#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_5 23#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_5 (1/25)#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log 4^20#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log 32^8#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_6 27.5#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_3 15#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_3 10.741#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_8 77#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_7 28#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_4 27#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_4 20#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_3 73#?
- How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_3 21.8#?
- What is #log_8(5*8)#?
- How do you evaluate # log_16 57.2#?
- How do you evaluate #log 10,000#?
- How do you evaluate #log 0.001#?
- How do you evaluate #log_15(15)#?
- How do you evaluate #log_6(216)#?
- How do you evaluate #log_9(1)#?
- How do you evaluate #log_3(1/27)#?
- How do you evaluate #log_5(625)#?
- How do you evaluate #log_7(343)#?
- How do you evaluate #log_64(1) #?
- How do you evaluate #log_3 81 #?
- How do you combine #Log_4 32 + Log_2 32#?
- How do you solve #log_3(27)#?
- How do you subtract # log_2 12 - log_2 3#?
- How do you solve #log_3 3 + log_2 8 + log_4 64#?
- How do you write #e^3 = 20.08# in log form?
- How do you evaluate #e^(In8)#?
- How do you solve #(e^(x+5) / e^(5)) = 3#?
- How do you solve #e^[2 ln x – ln (x^2 + x - 3)] = 1#?
- How do you solve #3^(2x) – 2*3^(x+5) + 3^10 = 0#?
- How do you expand #log_b x^7#?
- Given #log_b 2= 0.3562#, #log_b 3=0.5646#, and #log_b 5=0.8271#, how do you evaluate #log_b15#?
- Given #log_b 2= 0.3562#, #log_b 3=0.5646#, and #log_b 5=0.8271#, how do you evaluate #log_b(5/3)#?
- How do you condense #2log_3 x -3log_3 y +log_3 8#?
- How do you expand #log_6(6x)#?
- How do you solve #log_b(2)=0.24#?
- How do you solve #log_b(3)=0.381#?
- How do you solve #log_b(5)=0.558#?
- How do you expand #log_b(5b^4)#?
- How do you simplify #log_2 (7^2 * 4^7)#?
- How do you solve #2 - log_3sqrt(x² +17) = 0 #?
- How do you solve #log(x+54) - log(x+2) = 2 - log(x)#?
- How do you calculate #Log_sqrt(17)152#?
- How do you calculate #Log_5 sqrt542 #?
- How do you calculate #Log_7 15 #?
- How do you solve #log_6 (2x-1) + log_6 x = 2#?
- How do you solve #log_4 (x^2 + 3x) - log_4(x - 5) =1#?
- How do you prove #log_(b^n)(x^n)=log_(b)x#?
- How do you prove #log_10 x +log_10(3x-5)=log_10 2#?
- How do you condense #1/3log_(2)27 - log_(2)9 #?
- How do you expand #Log_b( sqrt57/74)#?
- How do you evaluate # Log_3 9 + log_3 36- log_3 4#?
- How do you solve #log_3 x + log_3 (x - 8) = 2#?
- How do you solve #log_7 (x+3) - 2 = log_7 3#?
- How do you expand #log_3((uv^2)/w)#?
- How do you evaluate #log_18(9) + log_18(2)#?
- How do you solve # log_3 (2x + 1) = log_3 (x - 4)#?
- How do you solve #3log_10 x+1 = 13#?
- How do you solve #log_6 (x + 2) = log_6 (3x)#?
- How do you solve #log _2 (x+2) - log _2 (x-5) = 3#?
- How do you condense #-5 log_b (y) - 6 log_b (z) + 1/2 log_b (x+4)#?
- How do you solve # 2^x+2^(-x)=5#?
- How do you solve #27^(2x+1) = 9^(4x)#?
- How do you solve #log_2(4x)=log_2(x+15)#?
- How do you calculate #log_5 33# with a calculator?
- How do you calculate #log_4 57# with a calculator?
- How do you calculate #log17# with a calculator?
- How do you calculate #log_9 14# with a calculator?
- How do you calculate #log_6 53# with a calculator?
- How do you calculate #log_5 2.4# with a calculator?
- How do you calculate #log_4 43# with a calculator?
- How do you calculate #log_9 48# with a calculator?
- How do you calculate #log_6 5# with a calculator?
- How do you calculate #log_5 7.2# with a calculator?
- How do you calculate #log_4 78# with a calculator?
- How do you calculate #log_3 -4.8# with a calculator?
- How do you calculate #log_7 5.8# with a calculator?
- How do you calculate #log_6 73# with a calculator?
- How do you calculate #log89# with a calculator?
- How do you calculate #log50# with a calculator?
- How do you calculate #log_9 8.1# with a calculator?
- How do you calculate #log_8 36# with a calculator?
- How do you calculate #log_7 8.34# with a calculator?
- How do you calculate #log_6 83# with a calculator?
- How do you calculate #log_4 3.6# with a calculator?
- How do you calculate #log_3 32# with a calculator?
- How do you calculate #log_9 1.1# with a calculator?
- How do you calculate #log_8 7.9# with a calculator?
- How do you calculate #log_5 (-28)# with a calculator?
- How do you solve this logarithmic function?
- How do you determine values for a and b that satisfy the double inequality #3<log_a(b)<4#?
- How do you solve #log_7x+log_7(x+5)=log_7(14)#?
- How do you expand #log_bsqrt(57/74)#?
- How do you expand #log_9(vw^5sqrtu)#?
- How do you solve #log_x 2 + log_2 x = 3# ?