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Chapter 5: Q 88. (page 299)

Solve the equation.
$\log_{5} (x) = 3$

Short Answer

Expert verified

The solution to the equation, $\log_{5} (x) = 3$ is, $x = 125$ .

Step by step solution

01

Step 1. Given Information

The given equation to be solved is $\log_{5} (x) = 3$ .

02

Step 2. Formula used

Rule of change from logarithm to exponents:

$\log_{a} b = y \Rightarrow a^{y} = b$

03

Step 3. Finding Solution

The given equation is $\log_{5} (x) = 3$ .

Use rule of change from logarithm to exponents:

$\log_{5} (x) = 3 x = 5^{3} x = 125$

The solution to the given equation is, $x = 125$ .

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