Question

solve: \\(\log_{4}(7t + 2) = 2\\)
\\(t = \\)

Explanation:

⚡ Using what you learned: Logarithms and Exponential Equations

Step 1: Rewrite in exponential form

$$ 4^2 = 7t + 2 $$

Step 2: Simplify and solve for \(t\)

$$ 16 = 7t + 2 $$

$$ 14 = 7t $$

$$ t = 2 $$

Answer:

\(t = 2\)