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

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Answer 1 · 2015-09-22T14:33:17

Refer to 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 $log_4 72=3.08$

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