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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. 127 (page 1033)

In the following exercises, convert from exponential to logarithmic form.
$2^{5} = 32$

Short Answer

Expert verified

The logarithmic form is,

$\log_{2} (32) = 5$

Step by step solution

01

Step 1. Given information.

The given expression is

$2^{5} = 32$ .

02

Step 2. Converting into the logarithmic form.

$2^{5} = 32 a^{y} = x \log_{a} (x) = y \log_{2} (32) = 5$

Therefore, the logarithmic form is

$\log_{2} (32) = 5$ .

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Most popular questions from this chapter

In the following exercises, determine whether or not the given functions are inverses.
$f (x) = x + 8 a n d g (x) = x - 8$

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

In the following exercises, graph each exponential function.

$g (x) = {(2.5)}^{x}$

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

$f (x) = - 2 x + 5$

Find the inverse of the function , $f (x) = \sqrt[5]{3 x - 2}$

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