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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 10.56 (page 1036)

Evaluate using the properties of logarithms: 鈸� $\log_{5} 1$ 鈸� $\log_{7} 7$ .

Short Answer

Expert verified

鈸� value of the $\log_{5} 1$ is $0$

鈸� value of the $\log_{7} 7$ is $1$

Step by step solution

01

Step 1. given data

Given logarithm expressions are

鈸� $\log_{5} 1$

鈸� $\log_{7} 7$

02

Step 2. solution of part (a)

Use the logarithm property $\log_{a} (1) = 0$

so $\log_{5} (1) = 0$

03

Step 3. solution of part (b)

Use the logarithm property $\log_{a} (a) = 1$

so $\log_{7} (7) = 1$

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Most popular questions from this chapter

For functions $f (x) = x^{2} - 9$ and

$g (x) = 2 x + 5$ , find

$(f 鈭� g) (- 2)$
$(g 鈭� f) (- 3)$
$(f 鈭� f) (4)$

Convert from exponential to logarithmic form:

32^{x} = \sqrt[4]{32}

In the following exercises, graph each function in the same coordinate system:

$f (x) = 3^{x}, g (x) = 3^{x} + 2$

Convert each logarithmic equation to exponential form:

$4 = \log_{x} (81)$ .

In the following exercise, find the inverse of each function.

$f (x) = \sqrt[4]{9 x - 5}$

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