# How do you solve 3^(1 + 2x) = 243?

Aug 19, 2015

color(blue)(x=2

#### Explanation:

${3}^{1 + 2 x} = 243$

$243 = {3}^{5}$

So,
${3}^{1 + 2 x} = {3}^{5}$

As bases are equal we equate the powers.

$1 + 2 x = 5$

$2 x = 5 - 1$

$2 x = 4$
color(blue)(x=2