SOLUTION: logx(32)=5

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: logx(32)=5      Log On


   

Question 1204050: logx(32)=5
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log%28x%2C32%29=5......change to base 10
log%2832%29%2Flog%28x%29=5
log%2832%29=5log%28x%29
log%2832%29=log%28x%5E5%29
32=x%5E5
x=2

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Change the log equation to exponential form:

log%28x%2C32%29=5 --> x%5E5=32

The other tutor shows solving the problem by changing the logs to base 10; doing that she gets to the same point in the solution using 4 steps instead of 1....

Now it's easy to finish.

x%5E5=32
x=2

ANSWER: x=2