Basic Exponential Help (1 Viewer)

Focus is Key · Feb 28, 2013

Solve:

5^x+2=47^3x

Thanks guys, I've just been staring out this one for ages and can't think.

NewtownTutoring · Feb 28, 2013

Is that $5^{x}+2 = 47^{3x}$ or $5^{x+2} = 47^{3x}$ ?

Focus is Key · Feb 28, 2013

The second one

NewtownTutoring · Feb 28, 2013

In that case:

${\raggedleft5^{x+2}=47^{3x}\\\\ \ln (5^{x+2})=\ln (47^{3x}) \\\\ (x+2)\ln (5)=3x\ln (47)\\\\x(\ln (5)-3\ln(47))=-2\ln (5)\\\\x = \frac{-2\ln(5)}{\ln(5)-3\ln(47)}}$

Focus is Key · Feb 28, 2013

Yay, thanks

NewtownTutoring · Feb 28, 2013

No problem

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Basic Exponential Help (1 Viewer)

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