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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. 132 (page 1033)

Convert from exponential to logarithmic form:
$x^{\frac{1}{2}} = \sqrt{3}$ .

Short Answer

Expert verified

The logarithmic form is,

$\frac{1}{2} = \log_{x} (\sqrt{3})$ .

Step by step solution

01

Step 1. Given the information.

The exponential form is,

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

02

Step 2. Converting to logarithmic form.

$x^{\frac{1}{2}} = \sqrt{3} y = \log_{a} (x) \frac{1}{2} = \log_{x} (\sqrt{3})$

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

then $\frac{1}{2} = \log_{x} (\sqrt{3})$ .

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Most popular questions from this chapter

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

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

On the same coordinate system, graph:

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

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