Question

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

Explanation:

Step1: Rewrite base 4 as power of 2

$4^4 = (2^2)^4 = 2^{8}$

Step2: Set exponents equal

Since bases are equal, $3w - 4 = 8$

Step3: Isolate term with $w$

$3w = 8 + 4 = 12$

Step4: Solve for $w$

$w = \frac{12}{3}$

Answer:

$w = 4$