These are Two problems that I am having difficulty with.

Write as a single logarithm. Assume all variables represent positive real numbers.
1. 5log3 a-7 log3 b+2 log3c
2.log7(x2+5x-24)-log7(x+8)

1 answer

log a^3 - log b^7 + log c^2

= log3(a^3 c^2/b^7 )
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x^2+5x-24 = (x+8)(x-3)
so
log7 (x-3)