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

Step 1. Given

An expression $\log_{7} 15$

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

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

Use the Change-of-Base Formula.

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

Step 2. Identify a and M.

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

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

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.

$\frac{\log_{10} 15}{\log_{10} 7} \approx 1.392$

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

Short Answer

Step by step solution

Step 1. Given

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

Step 2. Identify a and M.

Step 4. Enter the expression into the calculator.

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Explain how to find the value of log715 using your calculator.

Short Answer

Step by step solution

Step 1. Given

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

Step 2. Identify a and M.

Step 4. Enter the expression into the calculator.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Calculus

Decision Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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