SOLUTION: solve for x: logbase5(625)=x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: solve for x: logbase5(625)=x      Log On


   

Question 276159: solve for x:
logbase5(625)=x
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
log%285%2C+%28625%29%29=x
The phrase "Solve for x" means get x by itself on one side of the equation. Your equation is already soved for x.

What still needs to be done is simplifying the left side. In other words, how can log%285%2C+%28625%29%29 be expressed in a simpler way. If you understand logarithms well, the answer comes pretty easily. What does log%285%2C+%28625%29%29 stand for? log%285%2C+%28625%29%29 represents the exponent for 5 which results in 625. In other words, what power of 5 is 625? If you don't know the answer, it doesn't take much trial and error to find out. The answer is 4. So x = 4.