SOLUTION: evaluate log8 32

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Question 1081782: evaluate log8 32
Found 2 solutions by Alan3354, math_helper:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
evaluate log8 32
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If the base is 8:
= log(32)/log(8) = 5/3
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8 = 2^3
32 = 2^5
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log%282%5E3%2C2%5E5%29+=+5%2F3
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Or,
log%288%2C32%29+=+log%282%2C32%29%2Flog%282%2C8%29+=+5%2F3



Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+log%288%2C32%29+=+X+
8 to what power (X) gives you 32?
+8=%282%5E3%29+ and +2%5E5+=+32+ —> +%282%5E3%29%5EX+=+32+ —> +3X+=+5 —> +X+=+5%2F3+