SOLUTION: Solve for x: 3log(little 6)X = log(little 6) 2 + log(little 6) 32

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve for x: 3log(little 6)X = log(little 6) 2 + log(little 6) 32      Log On


   

Question 1022801: Solve for x:
3log(little 6)X = log(little 6) 2 + log(little 6) 32
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
3log%286%2CX%29+=+log%286%2C2%29+%2B+log%286%2C32%29
log%286%2CX%5E3%29+=+log%286%2C2%29+%2B+log%286%2C32%29
Adding logs --> multiply
log%286%2CX%5E3%29+=+log%286%2C2%2A32%29+=log%286%2C64%29
----
Since the logs (to the same base) are equal:
x^3 = 64
x = 4