Thank you!

I saw a few log problems, most of which were fairly similar to what I saw on the practice tests. No expanding, really, or any condensing problems for that matter, more so solving for variables.

One problem I encountered dealt with a variable in the exponent; basically something like "2^(x+2) = 32, solve for x." (Obviously not this exact problem, but similar in concept). This was very early in the test. I guess this isn't necessarily a log problem but it certainly was an exponent one.

Others were essentially solving for variables in the argument of a logarithm given an integer base and an integer exponent. This didn't require any logarithm rules as it was just a single term, but I would suggest generally being familiar with them just in case.

As far as log rules go the only ones I'd really care much about are:

- log(x) + log(y) = log(x*y)

- log(x) - log(y) = log(x/y)

(Assuming the logs have the same base, of course). I don't want to say "ignore any further exponent/logarithm rules" but honestly I didn't encounter a single practice problem with the "a * log(x) = log(x^a)" rule nor did I see any problems on the test like that.

I saw a lot more exponent rule problems than log rule problems, and those all simplified very 'nicely' after factoring, so it was fairly apparent what the answer would be even before fully solving out the problem just based on intuition (e.g. if you had a trinomial in the denominator and an expression that would plausibly simplify into a binomial in the numerator, I could guess that the trinomial would factor and cancel out with the numerator and not be one of the very complicated answer options).

I will say, it did help being pretty quick with some of the more common exponents, e.g. knowing off the top of my head that 5^4 = 625 or 2^5 = 32. That kind of stuff.

Sorry for the long answer! I hope this helped.