Question

Find the value of x when 3ˣ = 9³​

Answer 1

Answer:

$x=6$

Step-by-step 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:

$x=6$

Answer 2

Answer:

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

3^x = 3^6

x = 6