Expressing a power

1. Feb 13, 2007

thomas49th

Express e in terms of c and d if $$2^{c}4^{d} = 8^{e}$$

Can someone give me step by step advice on how to answer this?

2. Feb 13, 2007

HallsofIvy

4= 22 so 4d= (22)d= 22d. 8= 23 so 8e= (23)e= 23e.

Last edited by a moderator: Feb 14, 2007
3. Feb 13, 2007

thomas49th

I dont get

$$(2^{3})^{e}= 3^{3e}$$

I see that 2³ = 8 and $$(^{e})^{3}$$ is $$^{3e}$$, but how can that be $$3^{3e}$$
?

P.S Can i ask, the dot in the middle of a line, is it suppost to represent a new equaion?

4. Feb 14, 2007

HallsofIvy

That was a typo. I have corrected it.