Chapter 10: Q5. (page 535)

Write the equation $7^{- 2} = \frac{1}{49}$ in logarithmic form.

Short Answer

Expert verified

The required logarithmic form is $\log_{7} \frac{1}{49} = - 2$ .

Step by step solution

Step 1. Write down the given equation.

The given exponential equation is $7^{- 2} = \frac{1}{49}$ .

Step 2. Converting exponential equation to logarithmic form.

The logarithmic form of $7^{- 2} = \frac{1}{49}$ is written as:

$\begin{array}{l} 7^{- 2} = \frac{1}{49} .... (Given) \\ \frac{1}{49} = 7^{- 2} \\ \log_{7} (\frac{1}{49}) = - 2.... (\begin{array}{l} Applylogarithmic \\ form \end{array}) \\ \log_{7} \frac{1}{49} = - 2 \end{array}$

Step 3. Conclusion.

The required logarithmic form is $\log_{7} \frac{1}{49} = - 2$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Write the equation $7^{- 2} = \frac{1}{49}$ 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

Geometry

Logic and Functions

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Write the equation 7-2=149 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

Geometry

Logic and Functions

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Write the equation $7^{- 2} = \frac{1}{49}$ in logarithmic form.