Question

log_{5}(2x+3)=log_{5}3
answer is 16/5
how do i get to that answer?
whats the process?

Answer 1

Since the logs have the same base, you can say 2x+3 = 5

Answer 2

because log is a one to one function, so
\[\log(x)=\log(y)\iff x=y\]

Answer 3

oops meant say 2x+3 = 3

Answer 4

which means there is a mistake here somewhere right?

Answer 5

since \(2x+3=3\implies x=0\)