Question: Question 13 (1 point) Solve for x. \(\log_{4} 64 = x\) - \(x = 0.25\) - \(x = 16\) - \(x…

Question 13 (1 point)

Solve for x.

\(\log_{4} 64 = x\)

• \(x = 0.25\)
• \(x = 16\)
• \(x = 3\)
• \(x = 0.33\)

Solution

To solve for \( x \) in the equation: \[ \log_4 64 = x \] Convert the logarithmic equation to its exponential form: \[ 4^x = 64 \] Recognize that \( 4^3 = 64 \), so: \[ x = 3 \] The correct value of \( x \) is 3.