Question

Find the value of x when 3ˣ = 9³​

Answer 1

First turn the base of 9^3 into 3 which is 3^6

3^x = 3^6

x = 6

Answer 2

`x=6`

Explanation:

`3^x=9^3`

Rewrite 9 as 3²:

`\implies 3^x=(3^2)^3`

Apply exponent rule
`(a^b)^c=a^(bc)`

`\implies 3^x=3^6`

Therefore:

`x=6`