SOLUTION: log(base 2)(9x+11)=3+log(base 2)(x+3) I know the answer is 13 I just dont know the steps to get the answer.

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Question 401901: log(base 2)(9x+11)=3+log(base 2)(x+3) I know the answer is 13 I just dont know the steps to get the answer.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C9x+%2B+11%29+=+3+%2B+log%282%2C+x+%2B+3%29
The sticking point here is the 3.
I know that 3+=+log%282%2C8%29.
log%282%2C9x+%2B+11%29+=+log%282%2C8%29+%2B+log%282%2C+x+%2B+3%29
Now I can use the general rule log%282%2Ca%29+%2B+log%282%2Cb%29+=+log%282%2Ca%2Ab%29
log%282%2C9x+%2B+11%29+=+log%282%2C8x+%2B+24%29
If this is true, then
9x+%2B+11+=+8x+%2B+24
x+=+13