exponent equation

ugie

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Apr 5, 2010
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(7^3x)*7=5^x
I can't figure out where to go from here, help please
 
7(73x)=5x\displaystyle 7(7^{3x})=5^{x}

73x+1=5x\displaystyle 7^{3x+1}=5^{x}

(3x+1)log(7)=xlog(5)\displaystyle (3x+1)log(7)=xlog(5)

3x+1x=log(5)log(7)\displaystyle \frac{3x+1}{x}=\frac{log(5)}{log(7)}

3+1x=log(5)log(7)\displaystyle 3+\frac{1}{x}=\frac{log(5)}{log(7)}

Now, finish solving for x?.
 
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