Question

if 9 to the power of x = 27, what is x.

Method as well plz!

Answer 1

You can use logarithms:

Log9(27) which will give you the value of x

X= 1.5

Answer 2

`9^x=27\\\\(3^2)^x=3^3\\\\3^(2\cdot x)=3^3\\\\3^(2x)=3^3\iff 2x=3\ \ \ /:2\Rightarrow x=1.5`