SOLUTION: what is the exact solution of the equation e^(x+2) = 10^x

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Question 1002256: what is the exact solution of the equation
e^(x+2) = 10^x
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Choose either log base e or log base ten. Your choice.

e%5E%28x%2B2%29+=+10%5Ex

ln%28e%5E%28x%2B2%29%29=ln%2810%5Ex%29

%28x%2B2%29ln%28e%29=x%2Aln%2810%29

%28x%2B2%29%2A1=x%2Aln%2810%29

x%2B2=x%2Aln%2810%29
x%2Aln%2810%29-x=2
x%28ln%2810%29-1%29=2

highlight%28x=2%2F%28ln%2810%29-1%29%29