SOLUTION: Solve for x in the following equation. log5(x) = 1/2log5(9) + 1/3log5(64) - log5(3)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve for x in the following equation. log5(x) = 1/2log5(9) + 1/3log5(64) - log5(3)      Log On


   

Question 833071: Solve for x in the following equation.
log5(x) = 1/2log5(9) + 1/3log5(64) - log5(3)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x in the following equation.
log5(x) = 1/2log5(9) + 1/3log5(64) - log5(3)
***

log%285%2C%28x%29%29=log%285%2C%283%29%29%2Blog%285%2C%284%29%29-log%285%2C%283%29%29
log%285%2C%28x%29%29=log%285%2C%283%29%29%2Blog%285%2C%284%29%29-log%285%2C%283%29%29
log%285%2C%28x%29%29=log%285%2C%284%29%29
log%285%2C%28x%29%29-log%285%2C%284%29%29=0
convert to exponential form:
5^0=x/4=1
x=4