SOLUTION: log(base 4) (x+13) - log(base 4)(x-8) = 1 I know the answer is 15 but why in the beginning does it not combine? like log(base 4) ((x+13)(x-8)) Please explain Thanks

SOLUTION: log(base 4) (x+13) - log(base 4)(x-8) = 1 I know the answer is 15 but why in the beginning does it not combine? like log(base 4) ((x+13)(x-8)) Please explain Thanks

Algebra.Com

Question 916637: log(base 4) (x+13) - log(base 4)(x-8) = 1
I know the answer is 15 but why in the beginning does it not combine? like log(base 4) ((x+13)(x-8))
Please explain
Thanks
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
= 1

4(x-8) = x+13
4x - 32 = x+13
3x= 45
x = 15
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