Question

Another logarithm.

log[5](x+116)=4-log[5](x-4)

Answer 1

Move all your logs to the same side, and combine them by the property that:
\[log_b(a) + log_b(c) = log_b(a\cdot c))\]

Answer 2

I'm confused by the negative in front of the second log

Answer 3

Just add \(log_5(x-4)\) to both sides of the equal sign.

Answer 4

That will zero out the one on the right, and make a new, positive one on the left you can combine.

Answer 5

log[5](x+116/x-4)=4 and solve from there??

Answer 6

Not divide, multiply.

Answer 7

\[log_5((x+116)(x-4)) = 4\]

Answer 8

(x+116)(x-4)=5^4 and go from there?