Question

find the value of x if 3^3x-5= 1/​

Answer 1

Answer:

your answer in this picture

Answer 2

Answer:

3^(3x-5) = 1/9^x

Step-by-step explanation:

To solve the equation for x, make all the bases of powers same.

This can be done by taking 9 = 3^2

The equation, therefore, be written as follows:-

3^(3x-5) = 1/(3^2)^x = (3^2)^(-x) = 3^(-2x)

Now as the bases are same, compare the powers

3x-5 = -2x

or 3x+2x = 5

or 5x = 5

3^(3x-5) = 1/9^x

To solve the equation for x, make all the bases of powers same.

This can be done by taking 9 = 3^2

The equation, therefore, be written as follows:-

3^(3x-5) = 1/(3^2)^x = (3^2)^(-x) = 3^(-2x)

Now as the bases are same, compare the powers

3x-5 = -2x

or 3x+2x = 5

or 5x = 5

or x = 13^(3x-5) = 1/9^x