Question

27^(2x)=9^(x-3), solve for x

Answer 1

where x is a real number

Answer 2

if i told you that

27 = 3^3

and

9 = 3^2

would that help?

Answer 3

I just want to know what method to use to solve this. You know I'm no good at math...

Answer 4

you use the property \[\huge a^x = a^y \implies x = y\]

Answer 5

is that what you're asking?`

Answer 6

@haha31896 tell me if you have an answer and want it checked

Answer 7

\[ \huge 27^{(2x)}=9^{(x-3)} \implies 3^ {6x} = 3^{2x-6} \] \[\huge \implies 6x = 2x-6\implies x = -\frac 3 2\]

Answer 8

Okay. I understand..thanks @lgbasallote! That formula you gave helped!

Answer 9

welcome ^_^