Here are some log questions that I don't really have any idea how to do. I'd appreciate any hints/help... (solve for x in all questions)(adsbygoogle = window.adsbygoogle || []).push({});

1. [itex]2^x + 4^x = 8^x [/itex]

All I could think of doing was converting them to the same base. I don't see how to simplify the left side of the equation so I can equate the exponents (if that's what I have to do). If I take the log of both sides I just end up getting [itex] x log {2} + x log {4} = log {8} [/itex], and I don't know where to go from there.

2. [itex] log_x {2} = log_2x {8} [/itex]

I really have no idea how to approach this.

3. solve for x in terms of y

[itex] y = (e^2x - e^-2x) / 2 [/itex]

Again, no idea. (specifically, I don't know how to take the natural logarithm of both sides of this equation which is what i think i need to do)

I need some help with this log/ln stuff... if nothing else, are there any good links I can read up on? I forgot pretty much everything I've learned about this stuff.

Thanks

Preet

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# Homework Help: Help with basic log stuff

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