SOLUTION: log 2^x=2 log 2^3+log 2 ^5 solve

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: log 2^x=2 log 2^3+log 2 ^5 solve      Log On


   

Question 79491This question is from textbook
: log 2^x=2 log 2^3+log 2 ^5
solve This question is from textbook

Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!

log%282%5Ex%29+=+2%2Alog%282%5E3%29+%2Blog%282%5E5%29

The log of an exponential can be rewritten with
the exponent moved out in front of (left of) the
log as a coefficient of the log:

x%2Alog%282%29+=+2%2A3%2Alog%282%29+%2B+5%2Alog%282%29

Rewrite 2%2A3 as 6

x%2Alog%282%29+=+6%2Alog%282%29+%2B+5%2Alog%282%29

Every term can be divided by log%282%29

x+=+6+%2B+5

x+=+11

Edwin