SOLUTION: What is 4log base 3 (3x+5)= 12 please supply steps to solution. Thank you

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Question 466853: What is 4log base 3 (3x+5)= 12
please supply steps to solution. Thank you
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
**Note, log means log base 3**
4%2Alog%28%283x%2B5%29%29+=+12
Divide by 4 on both sides
log%28%283x%2B5%29%29+=+3
Rewrite equation in exponential form
**Note: e%5Ex+=+y <=> x+=+ln%28y%29**
3x+%2B+5+=+3%5E3
Because its log base 3, if it was log base 5 then it would be 5^3 on right side
3^3 = 3*3*3 = 27
3x+%2B+5+=+27
Subtract 5 on both sides
3x+=+22
Divide by 3 on both sides
x+=+22%2F3