Question

Solve each exponential equation for x.

Answer 1

a. x = 6

b. x = 2

Explanation:

a.
`2^x = 64`

`2^x = 2^6`

`x = 6` => the bases will cancel each other

b.
`3^(2x + 1) = 243`

`3^(2x + 1) = 3^5`

`2x + 1 = 5` => the bases will cancel each other

`2x + 1 - 1 = 5 - 1`

`2x = 4`

Divide both sides by 2

x = 4/2

x = 2