How do you solve log_9x = 1.5log9x=1.5?

1 Answer
Jun 11, 2016

I found x=27x=27

Explanation:

We can write it trying to manipualte 1.51.5 into 3/232:
log_9(x)=3/2log9(x)=32
we use the definition of log:
x=9^(3/2)x=932
and the property of exponents:
x=sqrt(9^3)x=93
x=27x=27