i need help solving this (logs) 2logm + 3logm = 10?

Question

2logm + 3logm = 10

Answer 1

2 log m + 3 log m = 10
5 log m = 10
log m = 2
m = 10^2 = 100

Answer 2

2log(m) + 3log(m) = 10

First, let's add the logs together.

5log(m) = 10

Divide both sides by 5, to obtain,

log(m) = 2

Let's change this to exponential form. Note that
a = log[base b](c) if and only if b^a = c

Since we're given no log, we're dealing in log[base 10]. Therefore,

10^2 = m

Therefore, m = 100