Solve (1/3)^(5x-2)=1/27

Evaluate

(\frac{1}{3})^{5 x - 2} = \frac{1}{27}

Rewrite in exponential form

3^{- 5 x + 2} = 3^{- 3}

Since the bases are the same,set the exponents equal

- 5 x + 2 = - 3

Move the constant to the right-hand side and change its sign

- 5 x = - 3 - 2

Subtract the numbers

- 5 x = - 5

Change the signs on both sides of the equation

5 x = 5

Divide both sides

\frac{5 x}{5} = \frac{5}{5}

Divide the numbers

x = \frac{5}{5}

Solution

More Steps

x = 1

Solve the equation