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

Question

5576 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-27T12:45:03

The answer is #x=-2#

Note that #243=3*3*3*3*3=3^5#

Our equation is

#3^(1-2x)=243#

#3/3^(2x)=3^5#

#3^(2x)=3/3^5=3^(-4)#

So, #2x=-4#

#x=-2#