Chapter 10: Q. 10.38 (page 1022)

Convert to exponential form:
$ⓐ 3 = \log_{3} (27) ⓑ 0 = \log_{x} (1) ⓒ - 1 = \log_{10} (\frac{1}{10})$

Short Answer

Expert verified

The exponential forms for the given logarithmic expressions are,

$a . 27 = 3^{3} b . 1 = x^{0} c . \frac{1}{10} = 10^{- 1}$

Step by step solution

Step 1 Given expressions are,

$ⓐ 3 = \log_{3} (27) ⓑ 0 = \log_{x} (1) ⓒ - 1 = \log_{10} (\frac{1}{10})$

The objective is, we need to find the exponential forms for the given logarithmic expressions.

Part a Step 2 ⓐ 3 = log327 .

$3 = \log_{3} (27) x = a^{y} 27 = 3^{3}$

Part b Step 2 0=logx1.

$0 = \log_{x} (1) x = a^{y} 1 = x^{0}$

So, the answer is, $1 = x^{0}$ .

Part c Step 2 -1=log10110

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

So, the answer is, $\frac{1}{10} = 10^{- 1}$ .

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Convert to exponential form:
$ⓐ 3 = \log_{3} (27) ⓑ 0 = \log_{x} (1) ⓒ - 1 = \log_{10} (\frac{1}{10})$

Short Answer

Step by step solution

Step 1 Given expressions are,

Part a Step 2 ⓐ 3 = log327 .

Part b Step 2 0=logx1.

Part c Step 2 -1=log10110

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Convert to exponential form:ⓐ3=log327ⓑ0=logx1ⓒ−1=log10110

Short Answer

Step by step solution

Step 1 Given expressions are,

Part a Step 2 ⓐ 3 = log327 .

Part b Step 2 0=logx1.

Part c Step 2 -1=log10110

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Discrete Mathematics

Theoretical and Mathematical Physics

Calculus

Probability and Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Convert to exponential form:
$ⓐ 3 = \log_{3} (27) ⓑ 0 = \log_{x} (1) ⓒ - 1 = \log_{10} (\frac{1}{10})$