How do you simplify # log(9)+ ( 1)/( 2) log(x )+ log ( x ^ ( 3) + 4) - log(6)#?

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Answer 1 · 2018-01-31T05:46:26

#log(3/2x^3.5 + 6x^(1/2))#

Using log properties,

#1/2log(x)#

becomes

#log(x^(1/2))#

When adding or subtracting logs with the same base you will multiply or divide what's on the inside, so

#log((9 (x^(1/2))* (x^3 + 4) )/6)#

#log((3 (( x^(1/2) * x^3) + (x^(1/2) * 4) ))/2)#

#log((3 (( x^3.5) + 4(x^(1/2)) ))/2)#

#log(3/2x^3.5 + 6x^(1/2))#

If you don't understand why these log properties exist, then you can just ask me if you want.