Question

How do I do this exponent equation?

Answer 1

\[2^{3x-2} = 4\]

Answer 2

@zepdrix

Answer 3

\[\Large\rm 2^{3x-2} = \color{orangered}{4}\]\[\Large\rm 2^{3x-2} = \color{orangered}{2^2}\]

Answer 4

Since the bases are the same, the exponents must be equal as well.\[\Large\rm 3x-2=2\]

Answer 5

Get it? :O

Answer 6

SO simply take logbase 2 of both sides and then do the rest?

Answer 7

Notice that the bases are the same, so you can simply equate the exponents.
But yes, if you want to be more systematic about it, log_2 each side :)

Answer 8

\[ \frac{ 4 }{3 }\]
Woah. It's simpler than I thought. o.o I see now.

Answer 9

Cool c:

Answer 10

thanks! you're always super helpful!