Question

hw unit 15 - logarithmic and exponential equations; applications question 1 of 35 (1 point) | question attempt: 1 of unlimited (a) write the equation in exponential form. (b) solve the equation from part (a). (c) verify that the solution checks in the original equation. \\(\log_{2}(x + 1) = 4\\) part: 0 / 3 part 1 of 3 (a) write the equation in exponential form. the equation in exponential form is \\(\square\\).

Explanation:

Step1: Recall logarithm definition

The logarithmic equation $\log_b a = c$ is equivalent to the exponential equation $b^c = a$.

Step2: Apply to given equation

For $\log_2 (x + 1) = 4$, here $b = 2$, $a = x + 1$, and $c = 4$. Using the definition, we get $2^4 = x + 1$.

Answer:

$2^4 = x + 1$