SOLUTION: How do I solve for x in the equation: (8)(56^2x)=10346 ???

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Question 105522: How do I solve for x in the equation: (8)(56^2x)=10346 ???
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
8%2856%5E%282x%29%29=10346
%288%2856%5E%282x%29%29%29%2F8=10346%2F8
56%5E%282x%29=1293.25
%2856%5E2%29%5Ex=1293.25
3136%5Ex=1293.25

Now, we use logarithm. But, read my lesson,"An overview to the laws of logarithms" before you continue. then, go back to this page.

log%283136%5Ex%29=log%281293.25%29
x+log%283136%29=log%281293.25%29
3.4963x=3.1116
3.4963x%2F3.4963=3.1116%2F3.4963
x=1.1236
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HyperBrain!