How do you use the Change of Base Formula and a calculator to evaluate the logarithm #log_4 72#?

1 Answer

Answer:

Refer to explanation

Explanation:

Using the change of base of formula

#log_(4)72=log72/log4=log(9*8)/log(2^2)=(2*log3+3*log2)/(2*log2)= 3/2+log3/log2#

Now using a calculator we see that #log2=0.69# and #log3=1.10#

so finally #log_4 72=3.08#