SOLUTION: Given x = log_b 8 , y = log_b 3, I have to express the answer in terms of x and y. log_3b (8/9) is the given equation. I got up to log_3b 8

SOLUTION: Given x = log_b 8 , y = log_b 3, I have to express the answer in terms of x and y. log_3b (8/9) is the given equation. I got up to log_3b 8 - 2 log_3b 3, currently wondering

Question 993329: Given x = log_b 8 , y = log_b 3, I have to express the answer in terms of x and y.
log_3b (8/9) is the given equation.
I got up to log_3b 8 - 2 log_3b 3, currently wondering how do I change the base 3b to b, but the base is a variable so I'm not sure how to do so.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

You want to simplify the expression,

Change Of Base Formula gives

Substitute your given relationships,

Next deal with the denominator,

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