How do i solve for x?
3^2x-1=3^x+2

Question

How do i solve for x?
3^2x-1=3^x+2

turingtest · Answer

is this$$3^{2x}-1=3^x+2$$or$$3^{2x-1}=3^{x+2}$$?

parthkohli · Answer

I guess that it is the 2nd one. When the base is same in the equations, we can for an equation with the exponents.

$\Large \color{midnightblue}{\rightarrow 2x - 1 = x + 2 }$

Why can we form an equation when the bases are same?

Let's see, $3^2 = 3^{x - 1}$

When we solve it, we get x as 3. Let's check.

$\Large \color{midnightblue}{\rightarrow 3^2 =  3^{3 - 1} }$
$\Large \color{midnightblue}{\rightarrow 9  = {27 \over 3}  }$
$\Large \color{midnightblue}{\rightarrow 9 = 9 }$

Checked! $\checkmark$

@TuringTest Check it please.

turingtest · Answer

that is indeed correct @ParthKohli provided that is the question

anonymous · Answer

turning test, its the second one

parthkohli · Answer

Then my answer, see it.

anonymous · Answer

oh, k. Thanks

anonymous · Answer

wait i still dont get it