Solve 64^(2 - 3x) = 4

Evaluate

6 4^{2 - 3 x} = 4

Rewrite in exponential form

4^{3 (2 - 3 x)} = 4

Since the bases are the same,set the exponents equal

3 (2 - 3 x) = 1

Divide both sides

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

Divide the numbers

2 - 3 x = \frac{1}{3}

Move the constant to the right side

- 3 x = \frac{1}{3} - 2

Subtract the numbers

More Steps

- 3 x = - \frac{5}{3}

Change the signs on both sides of the equation

3 x = \frac{5}{3}

Multiply by the reciprocal

3 x \times \frac{1}{3} = \frac{5}{3} \times \frac{1}{3}

Multiply

x = \frac{5}{3} \times \frac{1}{3}

Solution

More Steps

x = \frac{5}{9}

Alternative Form

x = 0. \dot{5}

Solve the equation