Question

Solve for x if 3*-1solve for x if 3 raise to power x minus 1 is equal to 1 by 27 ​

Answer 1

Answer :- (-2)

Step by step explanation:-

3×-1=1/27

3×-1=1/3raise to power3

3x-1=3raise to power-3

By comparing powers, we get

x-1=-3

×=-3+1

×=-2 ans

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Hope it will help you

Answer 2

The value of x is -2.

Step-by-step explanation:

Given : Expression $3^{x-1}=\frac{1}{27}$.

To find : Solve for x ?

Solution :

As we know, $27=3^3$

We can re-write the expression as,

$3^{x-1}=\frac{1}{3^3}$

$3^{x-1}=3^{-3}$

As the base are same compare the powers,

$x-1=-3$

$x=-3+1$

$x=-2$

Therefore, the value of x is -2.

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