How do you use the Change of Base Formula and a calculator to evaluate the logarithm $log_5 10$ ?

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Answer 1 · 2018-05-23T09:23:14

1.43

$log_ab = (log_cb)/(log_ca)$

So with the logarithm $log_5 10$ where a=5 and b=10

We can write it as using the change of base formula,

$log_5 10 =(log_10 10)/(log_10 5) = 1/log_10 5 = 1.43$

How do you use the Change of Base Formula and a calculator to evaluate the logarithm log_5 10log_5 10?