Question

If 2^x-2*3^2x-6=36, then find the value of x.​

Answer 1

So, x = 4
Hope it helps ☺️

Answer 2

The value of x is 4.

Step-by-step explanation:

Consider the given equation is

$2^{x-2}\times 3^{2x-6}=36$

We need to find the value of x.

The given equation can be rewritten as

$2^{x-2}\times 3^{2x-6}=2\times 2\times 3\times 3$

$2^{x-2}\times 3^{2x-6}=2^2\times 3^3$

On comparing the power of 2 we get

$x-2=2\Rightarrow x=4$

On comparing the power of 3 we get

$2x-6=2\Rightarrow 2x=8\Rightarrow x=4$

Therefore, the value of x is 4.

#Learn more

If 2^x-2*3^2x-6=36, then find the value of x.

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