SOLUTION: Solve the exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. (Enter your answers as a comma-separated list.) 4^x-5 = 3^3x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. (Enter your answers as a comma-separated list.) 4^x-5 = 3^3x       Log On


   

Question 891531: Solve the exponential equation using logarithms. Give the answer in decimal form, rounding to four decimal places. (Enter your answers as a comma-separated list.)
4^x-5 = 3^3x
x=???
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Take the natural log of both sides,
%28x-5%29ln%284%29=3xln%283%29
ln%284%29x-3ln%283%29x=5ln%284%29
x%28ln%284%29-3ln%283%29%29=5ln%284%29%29
highlight%28x=5ln%284%29%2F%28ln%284%29-3ln%283%29%29%29