SOLUTION: Solve the following exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. 5^(1-7x)=4^x What is the exact answer?

Algebra ->  Equations -> SOLUTION: Solve the following exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places. 5^(1-7x)=4^x What is the exact answer?       Log On


   

Question 1088200: Solve the following exponential equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places.
5^(1-7x)=4^x
What is the exact answer? Choice the correct choice below.
A.The soltion set is?
(simplify answer. Type an exact answer)
or
B. There is no solution
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Graphically,
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Algebraically,
ln%285%5E%281-7x%29%29=ln%284%5Ex%29
%281-7x%29%2Aln%285%29=x%2Aln%284%29
ln%285%29=x%287ln%285%29%2Bln%284%29%29
x=ln%285%29%2F%287ln%285%29%2Bln%284%29%29