Question

log(subscript 3)(5x-1)=log(subscript 3)(x+7)

Answer 1

\[\log_{3}(5x-1)=\log_{3}(x+7) \]

Answer 2

since they have the same bases just solve it as a normal equation

5x-1 = x+7
4x = 8
x=2

Answer 3

$$\bf \large {
log_{3}(5x-1)=log_{3}(x+7)\\
\text{using the cancellation rule of}\\
a^{log_ax} = x\\
\color{blue}{3}^{log_{\color{blue}{3}}(5x-1)}=\color{blue}{3}^{log_{\color{blue}{3}}(x+7)} \implies 5x-1 = x+7
}
$$

Answer 4

then as cmolina19 said, just solve for "x" :)

Answer 5

You"re great teacher. I'm a new fan.
Thank you for the help.