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

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Answer 1 · 2015-08-19T06:30:08

$color(blue)(x=2$

$3^(1+2x) =243$

$243=3^5$

So,
$3^(1+2x) =3^5$

As bases are equal we equate the powers.

$1+2x=5$

$2x=5-1$

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

How do you solve 3^(1 + 2x) = 2433^(1 + 2x) = 243?