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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. 168 (page 1034)

In the following exercises, find the exact value of each logarithm without using a calculator.
$\log_{4} 1$

Short Answer

Expert verified

The value of expression is $\log_{4} 1 = 0$

Step by step solution

01

Step 1. Given

An expression is given as $\log_{4} 1$

02

Step 2. Calculation

Put the expression equal to $x$ ,

$\log_{4} 1 = x$

Change the equation into exponential form as,

$4^{x} = 1 4^{x} = 4^{0} x = 0 鈫� \log_{4} 1 = 0$

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Most popular questions from this chapter

Convert from exponential to logarithmic form:

$3^{- 2} = \frac{1}{9}$ .

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

$f (x) = \sqrt[4]{8 x - 3}, x 鈮� \frac{3}{8}$

Convert from exponential to logarithmic form:

$x^{\frac{1}{2}} = \sqrt{3}$ .

In the following exercises, solve each logarithmic equation. $y = \log_{2.5} (x)$

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

$f (x) = - 5 x - 4$

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