SOLUTION: Please give step by step instructions on solving this problem... {{{3^x = 8^(x-8)}}}

Question 462600: Please give step by step instructions on solving this problem...

Answer by math-vortex(648) (Show Source): You can put this solution on YOUR website!
Please give step by step instructions on solving this problem...

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There are several ways to solve this problem Here is a method that I like. Warning: this problem has LOTS of algebra twists and turns!
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Remember that the logarithm function is the inverse of the exponential function. This means that I can rewrite any exponential equation as a logarithmic equation.
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We are given

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Since these to expressions are equivalent, their natural logarithms are equivalent. So,

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Using the power property for the logarithms, we have

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Now we expand the right side of the equation.

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Solve for x.

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Apply the division property for subtracting logarithms.

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hope this helps!
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Ms.Figgy
math.in.the.vortex
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