SOLUTION: if log(2)3 = a and log(2)7 = b, express the following in terms of a & b. log(8)72

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Question 630095: if log(2)3 = a and log(2)7 = b, express the following in terms of a & b.
log(8)72

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
if log(2)3 = a and log(2)7 = b,
express the following in terms of a & b.
log(8)72 = log2(72)/log(2)8 = [log2(8)+log2(9)]/log2(8)
----
= 1 + [log2(9)/log2(8)]
==
= 1 + [2log2(3)/3]
---
= 1 + (2/3)a
==================
Cheers,
Stan H.

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