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

Question

3320 views around the world

You can reuse this answer
Creative Commons License

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#