Chapter 10: Q. 456 (page 1067)

Convert the equation from exponential to logarithmic form:
$10^{- 2} = \frac{1}{100}$ .

Short Answer

Expert verified

On converting the equation we get,

$\log_{10} (\frac{1}{100}) = - 2$

Step by step solution

Step 1. Given information.

Consider the given equation,

$10^{- 2} = \frac{1}{100}$

Compare the given equation with the standard form $x = a^{y}$ , we get,

$a = 10, y = - 2, x = \frac{1}{100}$

Step 2. Convert into logarithmic form.

Convert exponential form in logarithmic form,

$y = \log_{a} (x) - 2 = \log_{10} (\frac{1}{100})$

Therefore, we get,

$\log_{10} (\frac{1}{100}) = - 2$

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.

Convert the equation from exponential to logarithmic form:
$10^{- 2} = \frac{1}{100}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Convert into logarithmic form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Logic and Functions

Decision Maths

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

Convert the equation from exponential to logarithmic form:10-2=1100.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Convert into logarithmic form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Logic and Functions

Decision Maths

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

Convert the equation from exponential to logarithmic form:
$10^{- 2} = \frac{1}{100}$ .