SOLUTION: log64 32 = x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: log64 32 = x      Log On


   

Question 959033: log64 32 = x
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

log%2864%2C+32%29+=+x....change the base to base 10
log%2832%29%2Flog%2864%29+=+x
log%282%5E5%29%2Flog%282%5E6%29+=+x
5log%282%29%2F6log%282%29+=+x
5cross%28log%282%29%29%2F6cross%28log%282%29%29+=+x
x=5%2F6+

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
log64 32 = x
log+%2864%2C+32%29+=+x ----- LOGARITHMIC form

64%5Ex+=+32 -------- Changing from LOGARITHMIC to EXPONENTIAL form

%282%5E6%29%5Ex+=+2%5E5 ------ Changing bases to a common base of 2

2%5E%286x%29+=+2%5E5

6x = 5 --------- Bases are equal, and so are their exponents

highlight_green%28x+=+5%2F6%29