Question

solve for \\(t\\).

\\7^t = 70\\

\\(t =\\)

Explanation:

Convert the exponential equation to logarithmic form

$$ 7^t = 70 \implies t = \log_{7}(70) $$

Apply the change of base formula

$$ t = \frac{\ln(70)}{\ln(7)} \quad \text{or} \quad t = \frac{\log(70)}{\log(7)} $$

Answer:

Solve for \(t\).

$$7^t = 70$$

\(t =\) <blank>\(\log_{7}(70)\)</blank>