SOLUTION: {{{5^(x+2)}}}={{{4^(1-x)}}}

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Question 117116This question is from textbook
: 5%5E%28x%2B2%29=4%5E%281-x%29 This question is from textbook

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

5%5E%28x%2B2%29=4%5E%281-x%29
ln%285%5E%28x%2B2%29%29=ln%284%5E%281-x%29%29
%28x%2B2%29ln%285%29=%281-x%29ln%284%29
x%2Aln%285%29%2B2%2Aln%285%29=1%2Aln%284%29-x%2Aln%284%29
x%2Aln%285%29%2B2%2Aln%285%29=ln%284%29-x%2Aln%284%29
x%2Aln%285%29%2Bx%2Aln%284%29=ln%284%29-2%2Aln%285%29
%28x%28+ln%285%29%2Bln%284%29+%29%29%2F%28+ln%285%29%2Bln%284%29+%29=%28+ln%284%29-2%2Aln%285%29+%29%2F%28+ln%285%29%2Bln%284%29+%29+
=%28+ln%284%29-2%2Aln%285%29+%29%2F%28+ln%285%29%2Bln%284%29+%29+
x = %28+ln%284%29-2%2Aln%285%29+%29%2F%28+ln%285%29%2Bln%284%29+%29+
x = -.611730721
Edwin