If 3^-x=2 what does 3^2x equal?

The given expression is an application of an exponential equation. The result shows that if

Given that

This can also be expressed as

Cross multiply

Take the square root of both sides

The result shows that if

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nice question...

so here we go

3^ -x = 1 / 3^x

so 1/ 3^x = 2 so 3^x = 1/2

we can write 3^2x as 3^x multiplied by 3^x right?..(law of exponents)

recall that 3^x =1/2

so now according to question we have to find the value of 3^2x =  1/2 * 1/2 = 1/4

Step-by-step explanation:

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