Question

Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.
log4 7

Answer 1

Answer:

The question is incomplete, the complete question is  "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.  $log_{4}7$.

$log_{4}7=1.404$

Step-by-step explanation:

From the general properties or laws of logarithm, we have the

$log_{a}b=\frac{logb}{loga}$

where both log are now express in the natural logarithm base.

i.e $log_{a}b=\frac{lnb}{lna}$

hence we can express our $log_{4}7=\frac{ln7}{ln4}$.

the value of ln7 is 1.9459 and ln4 is 1.3863

Hence  $log_{4}7=\frac{ln7}{ln4}=\frac{1.9459}{1.3863}$.

$log_{4}7=1.404$