Question

Solve the following logarithm equation.
log (x + 2) – log(x – 5) = log 4

Answer 1

is this log base ten?

Answer 2

ooops no it is a minus sign, step one will be
\[\log(a)-\log(b)=\log(\frac{a}{b})\]

Answer 3

wrong again it is
\[\log(4)\] on the other side so you have
\[\log(\frac{x+2}{x-5})=\log(4)\] meaning
\[\frac{x+2}{x-5}=4\]

Answer 4

then solve via
\[x+2=4(x-5)\]
\[x+2=4x-20\]
etc