Chapter 10: Q4. (page 535)

Write the equation $5^{4} = 625$ in logarithmic form.

Short Answer

Expert verified

The required logarithmic form is $\log_{5} 625 = 4$ .

Step by step solution

Step 1. Write down the given equation.

The given exponential equation is $5^{4} = 625$ .

Step 2. Converting exponential equation to logarithmic form.

The logarithmic form of $5^{4} = 625$ is written as:

$\begin{array}{l} 5^{4} = 625.... (Given) \\ 625 = 5^{4} \\ \log_{5} (625) = 4.... (\begin{array}{l} Applylogarithmic \\ form \end{array}) \\ \log_{5} 625 = 4 \end{array}$

Step 3. Conclusion.

The required logarithmic form is $\log_{5} 625 = 4$ .

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Write the equation $5^{4} = 625$ in logarithmic form.

Short Answer

Step by step solution

Step 1. Write down the given equation.

Step 2. Converting exponential equation to logarithmic form.

Step 3. Conclusion.

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Write the equation 54=625 in logarithmic form.

Short Answer

Step by step solution

Step 1. Write down the given equation.

Step 2. Converting exponential equation to logarithmic form.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Probability and Statistics

Mechanics Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

Write the equation $5^{4} = 625$ in logarithmic form.