SOLUTION: solve the equation, showing the calculation steps: 5^2^x -6*(5^x)=0

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: solve the equation, showing the calculation steps: 5^2^x -6*(5^x)=0       Log On


   



Question 854405: solve the equation, showing the calculation steps:
5^2^x -6*(5^x)=0

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5%5E%282x%29-6%2A5%5Ex=0
5%5E%28x%29%285%5Ex-6%29=0
Since 5%5Ex cannot equal zero, there is only one solution.
5%5Ex-6=0
5%5Ex=6
x=log%285%2C6%29
x=log%28%286%29%29%2Flog%28%285%29%29