Please show all steps to solution. (x-5) and x are exponents; didn't know how to put them where they belong
in Algebra 1 Answers by Level 1 User (160 points)

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1 Answer

Question: Solve Exponential Equation: 2(x-5)=17x

You can show exponential quantitites using a normal qwerty keyboard with the carat symbol '^'.

Any exponent with two characters or more should be bracketed.

Your exponential equation then is: 2^(x-5) = 17^x

Taking logs of both sides,

ln[2^(x-5)] = ln[17^x]

(x-5).ln[2] = x.ln[17]

x.ln[2] - 5.ln[2] = x.ln[17

x{ln[2] - ln[17]} = 5.ln[2] = ln[32]

x{ln[2/17]} = ln[32]

x = ln[32] / ln[2/17] = 3.46573 / (-2.14007) = - 1.61945

x = - 1.61945

by Level 11 User (81.5k points)

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