Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 10.38 (page 1022)

Convert to exponential form:
$鈸� 3 = \log_{3} (27) 鈸� 0 = \log_{x} (1) 鈸� 鈭� 1 = \log_{10} (\frac{1}{10})$

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,

$鈸� 3 = \log_{3} (27) 鈸� 0 = \log_{x} (1) 鈸� 鈭� 1 = \log_{10} (\frac{1}{10})$

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

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

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

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91影视

Convert to exponential form:
$鈸� 3 = \log_{3} (27) 鈸� 0 = \log_{x} (1) 鈸� 鈭� 1 = \log_{10} (\frac{1}{10})$

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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91影视

Convert to exponential form:鈸�3=log327鈸�0=logx1鈸�鈭�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

Discrete Mathematics

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

Convert to exponential form:
$鈸� 3 = \log_{3} (27) 鈸� 0 = \log_{x} (1) 鈸� 鈭� 1 = \log_{10} (\frac{1}{10})$