Question

27^x=1/9 find the value of x with steps

Answer 1

x = -2/3

Explanation:

27^x=1/9

writing 27 as 3^3 and 1/9 as 3 ^-2

3^3^x = 3^-2

We know that a^b^c =a^(b*c)

3^(3x) = 3^-2

Since the bases are the same the exponents need to be the same

3x = -2

x = -2/3