Question

Solve the exponential equation. 4x = 0.5 -2 -1 -1/2

Answer 1

`x=-1/2`

Explanation:

`4^x=1/2`

Make the bases 2 on both sides of the equation.

`2^(2^x)=2^(-1)`

Multiply the exponents.

`2^(2x)=2^(-1)`

Cancel the bases.

`2x=-1`

Divide 2 into both sides of the equation.

`x=-1/2`