SOLUTION: I am having difficulty solving this problem: log(base 4)x - log(base4)(x+3) = -1 Any help would be appreciated>

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Question 269309: I am having difficulty solving this problem:
log(base 4)x - log(base4)(x+3) = -1
Any help would be appreciated>

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
log(base 4)x - log(base4)(x+3) = -1
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log4(x/(x+3)) = -1
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Comment: when you say "log = -1" you mean
the exponent is -1.
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x/(x+3) = 4^-1
---
x/(x+3) = 1/4
---
Cross-multiply and solve for "x"
4x = x+3
3x = 3
x = 1
============
Cheers,
Stan H.

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