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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

User Rowie Po
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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\\

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\\

User Krasnerocalypse
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