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(4^x)-(6*2^x) = -8

How would I go about starting this? At first I tried taking the ln of each side to get the variable out from the exponent, but I get pretty confused as to what the result would be. Would it be anything like the following?

2x + ln(4) - (ln(6) * ln(2)) = ln(-8)

Am I close, or am I completely missing it?

I just plain don't know where to start. I've been working on the sheet for a few hours, trying something different each time, and nothing seems to end up right. I would really appreciate a push in the right direction.

I know the properties I just don't really know what order to use them in.

There's a few other questions that I'm having trouble with, such as:

6e^(2x) - 16e^x = 6

log(4x-1) = log(x+1) + log(2)

Like I said before, I know the properties, so you don't need to tell me those, I would just like to know when and how to use them properly. I don't even necessarily need the answers, just sort of a walkthrough.

Your help is appreciated, this is the only thing in precalc that I can't seem to grasp.

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# Homework Help: Logs and their Properties.

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