Question

solve the given equation for (x).
(2^{x-8} = 3)
(x =)

Explanation:

Step1: Write down the equation

$$2^{x-8} = 3$$

Step2: Apply logarithm to both sides

$$\log_{2}(2^{x-8}) = \log_{2}(3)$$

Step3: Simplify the left side

$$x - 8 = \log_{2}(3)$$

Step4: Solve for \(x\)

$$x = \log_{2}(3) + 8$$

Answer:

\(x = \log_{2}(3) + 8\)