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

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\\`

Explanation:

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

`log_(a)b=(logb)/(loga) \\`

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

i.e
`log_(a)b=(lnb)/(lna)\\`

hence we can express our
`log_(4)7=(ln7)/(ln4) \\`.

the value of ln7 is 1.9459 and ln4 is 1.3863

Hence
`log_(4)7=(ln7)/(ln4)=(1.9459)/(1.3863)\\`.

`log_(4)7=1.404\\`