I had a 98 in my Algebra class until this chapter came up. It's the last math course I ever have to take so I am hoping to finish strong.

Typically when a specific multiplier or divisor or whatever is present in every part of an equation, it can simply be removed, right? So if I have this equation:

log24x + log29 = log218Am I allowed to simply remove the log portion from the equation and leave it was 4x+9=18? It just doesn't seem right. If not how do I solve it?

Is it the same with natural logs, since they always have the same base? Take

lnx- ln(x-4) = ln3Thanks in advance.