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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. 287 (page 1046)

Explain how to find the value of $\log_{7} 15$ using your calculator.

Short Answer

Expert verified

The value of $\log_{7} 15$ by using the calculator is $1.392$

Step by step solution

01

Step 1. Given

An expression $\log_{7} 15$

To find the value of $\log_{7} 15$

02

Step 2. Use the Change-of-Base Formula.

Use the Change-of-Base Formula.

$\log_{a} M = \frac{\log_{b} M}{\log_{b} a}$

03

Step 2. Identify a and M.

Identify $a$ and $M$ . Choose $10$ for $b$

$\log_{7} 15 = \frac{\log_{10} 15}{\log_{10} 7}$

04

Step 4. Enter the expression into the calculator.

Enter the expression in the calculator using the log button for base $10$ . Round to three decimal places.

$\frac{\log_{10} 15}{\log_{10} 7} 鈮� 1.392$

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Most popular questions from this chapter

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