means . There is not much of a trick. Just take to the power of each side.
So I've been given the following equation:
and the following interval:
and I have been asked to solve it for a=3 and a=1/3
I assume to do so I must start by using the log(ab)=log(a)+log(b) identity to make it:
but after that I am lost (it is safe to say I suck at logs). Could someone please help me out?
Thanks for the help!
That seems way simpler than I thought this problem would be!
Could you just tell me if I am doing it correctly?
And wouldn't that mean that a could equal 3, 1/3, or anything else, and the answer would still be the same?
thanks for the help
Nope, it turns out I was right the first time. Spoilering my whole little... "episode" up there. Well this problem was a roller coaster.
When , so multiplying both sides by does not change the inequality. When , so multiplying both sides by flips the inequality (since you are multiplying by a negative number). That is the only difference between when or when