SOLUTION: Express log_4(7) in terms of natural logarithms. Don't find a numerical answer. --log_4(7) AKA log base 4 of 7 ---- I am not sure how to answer this, what are the steps t

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Question 1093236: Express log_4(7) in terms of natural logarithms. Don't find a numerical answer.

--log_4(7) AKA log base 4 of 7
---- I am not sure how to answer this, what are the steps to solve this type of problem?

Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Express log_4(7) in terms of natural logarithms.
--------------

----
It's the base change formula.
---
Also,
Also, where b is any legal base.

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
If , then .
taking logarithms base on both sides of that equation,
we find the equivalent equation
.
using the properties of logarithms, we get
, and solving for we get
.

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