Problem

$\log _{3}(x-21)=2$

Solution

Step 1 :Given the logarithmic equation \(\log _{3}(x-21)=2\)

Step 2 :To solve for x, we need to convert the logarithmic equation into an exponential equation. The base of the logarithm becomes the base of the power, the right side of the equation becomes the exponent, and the argument of the logarithm becomes the result.

Step 3 :So, the equation \(\log _{3}(x-21)=2\) can be rewritten as \(3^2 = x - 21\)

Step 4 :Solving for x, we get \(x = 3^2 + 21\)

Step 5 :Final Answer: \(x = \boxed{30}\)

From Solvely APP
Source: https://solvelyapp.com/problems/18329/

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