# What is x if log_2(x) + log_3(x + 1) = log_5(x - 4)?

Jun 26, 2018

I do not think they are equal....

#### Explanation:

I tried various manipuations but I got an even more difficult situation!
I ended up trying a graphical approach considering the functions:

$f \left(x\right) = {\log}_{2} \left(x\right) + {\log}_{3} \left(x + 1\right)$
and:
g(x)=log_5(x−4)

and plotting them to see if they cross each other:

but they do not for any $x$!