SOLUTION: espress as one quantity: logbx + logb(x+2)-logb8

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Question 349424: espress as one quantity: logbx + logb(x+2)-logb8
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the expression is:
log%28b%2C+%28x%29%29+%2B+log%28b%2C+%28x%2B2%29%29-log%28b%2C+%288%29%29
Start by using the property of logarithms, log%28a%2C+%28p%29%29+%2B+log%28a%2C+%28q%29%29+=+log%28a%2C+%28p%2Aq%29%29, to combine the first two logs:
log%28b%2C+%28x%2A%28x%2B2%29%29%29-log%28b%2C+%288%29%29
and then use another property of logarithms, log%28a%2C+%28p%29%29+-+log%28a%2C+%28q%29%29+=+log%28a%2C+%28p%2Fq%29%29, to combine the remaining logs:
log%28b%2C+%28%28x%2A%28x%2B2%29%29%2F8%29%29%29