Problem 3 - College Algebra Essentials

Question

Write each equation in its equivalent exponential form. $$2=\log _{3} x$$

Step-by-Step Solution

Answer

The equivalent exponential form of the given logarithmic equation is \(3^2 = x\).

Step 1: Identify the Base, Exponent, and Result

In the given logarithmic equation \(2 = \log_{3} x\), 3 is the base, x is the result, and 2 is the exponent.

Step 2: Transform the Logarithmic Equation into an Exponential Form

Using the principle that \(a = \log_{b} c\) can be rewritten as \(b^a = c\), the given equation can be rewritten as \(3^2 = x\).