Question

b) $9^x = 3^{40}$

Explanation:

Step1: Rewrite base 9 as power of 3

$9^x = (3^2)^x$

Step2: Simplify exponent using power rule

$(3^2)^x = 3^{2x}$

Step3: Set exponents equal (same base)

$2x = 40$

Step4: Solve for x by dividing by 2

$x = \frac{40}{2}$

Answer:

$x = 20$