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$${{\left({{\mathtt{128}}}^{{\mathtt{3}}}\right)}}^{{\mathtt{x}}} = {\mathtt{8}}$$ pls explain how to solve, original problem does not have parentheses, original problem should be 128^3x=8 

 Dec 7, 2014

Best Answer 

 #1
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First take the log of both sides to bring out the 3x, divide both sides by log(128) then by 3.

log(128^(3x)) = log (8)
3xlog(128) = log(8)
3x = log(8) / log(128)
x = (log(8) / log(128)) / 3
x = 1/7

 Dec 8, 2014
 #1
avatar
+5
Best Answer

First take the log of both sides to bring out the 3x, divide both sides by log(128) then by 3.

log(128^(3x)) = log (8)
3xlog(128) = log(8)
3x = log(8) / log(128)
x = (log(8) / log(128)) / 3
x = 1/7

Guest Dec 8, 2014

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