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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. 134 (page 1033)

Convert from exponential to logarithmic form:
$32^{x} = \sqrt[4]{32}$ .

Short Answer

Expert verified

The logarithmic form is,

$x = \log_{32} (\sqrt[4]{32})$ .

Step by step solution

01

Step 1. Given the information.

The exponential form is,

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

02

Step 2. Converting to logarithmic form.

$32^{x} = \sqrt[4]{32} y = \log_{a} (x) x = \log_{32} (\sqrt[4]{32})$

If $32^{x} = \sqrt[4]{32}$ ,

then $x = \log_{32} (\sqrt[4]{32})$ .

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