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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. 426 (page 1065)

In the following exercises, use the Properties of Logarithms to condense the logarithm. Simplify if possible.
$\log_{2} 56 - \log_{2} 7$

Short Answer

Expert verified

a condensed form of the logarithm is $\log_{2} 56 - \log_{2} 7 = \log_{2} \frac{56}{7}$

Step by step solution

01

Step 1. Given data

The given logarithm expression is $\log_{2} 56 - \log_{2} 7$

02

Step 2. Apply the quotient properties of the logarithm

Use quotient properties of the logarithm $\log_{a} (\frac{m}{n}) = \log_{a} (m) - \log_{a} (n)$

$\log_{2} 56 - \log_{2} 7 = \log_{2} \frac{56}{7}$

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