Question

solve for $w$.
$2^{3w - 4} = 4^{4}$

Explanation:

Step1: Rewrite base 4 as power of 2

$4^1 = (2^2)^1 = 2^2$

Step2: Set exponents equal (same base)

$3w - 4 = 2$

Step3: Isolate term with $w$

$3w = 2 + 4$
$3w = 6$

Step4: Solve for $w$

$w = \frac{6}{3}$

Answer:

$w = 2$