SOLUTION: how would you do 3log6X= log6 2+ log 6 32 all of the sixes are suppose to be the small number the answer is suppose to be 4 but I dont know how it would be done. Could you show

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: how would you do 3log6X= log6 2+ log 6 32 all of the sixes are suppose to be the small number the answer is suppose to be 4 but I dont know how it would be done. Could you show      Log On


   

Question 1021322: how would you do 3log6X= log6 2+ log 6 32
all of the sixes are suppose to be the small number
the answer is suppose to be 4 but I dont know how it would be done. Could you show me the steps?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
3*log(6,x)=log(6,2)+log(6,32)

Inside the rendering tags, 3%2Alog%286%2Cx%29=log%286%2C2%29%2Blog%286%2C32%29.

log%286%2Cx%5E3%29=log%286%2C2%2A32%29

log%286%2Cx%5E3%29=log%286%2C2%5E6%29

x%5E3=2%5E6

x%5E3=2%2A2%2A2%2A2%2A2%2A2

x%5E3=%282%5E2%29%282%5E2%29%282%5E2%29

x%5E3=%282%5E2%29%5E3
Exponents the same 3 for both bases, so x=4.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

how would you do 3log6X= log6 2+ log 6 32
all of the sixes are suppose to be the small number
the answer is suppose to be 4 but I dont know how it would be done. Could you show me the steps?
3+%2A+log+%286%2C+x%29+=+log+%286%2C+2%29+%2B+log+%286%2C+32%29

log+%286%2C+x%5E3%29+=+log+%286%2C+2%2832%29%29

x%5E3+=+64

matrix%281%2C1%2Cx+=+64%5E%281%2F3%29%29%5E%22%22, or highlight_green%28x+=+4%29