Evaluating Logarithms Evaluate the expression.
(a) $\log_{3} 3^{7}$ (b) $\log_{4} 64$ (c) $\log_{5} 125$

Question

Evaluating Logarithms Evaluate the expression.
(a) $\log_{3} 3^{7}$ (b) $\log_{4} 64$ (c) $\log_{5} 125$

Accepted Answer

The required value is 7.
The required value is 3.
The required value is 3.

Given	$\log_{a} (a^{b})$ form	a	b	Answer
$\log_{3} 3^{7}$	$\log_{3} (3^{7})$	3	7	7

Given	$\log_{a} (a^{b})$ form	a	b	Answer
$\log_{4} 64$	$\log_{4} (4^{3})$	4	3	3

Given	$\log_{a} (a^{b})$ form	a	b	Answer
$\log_{5} 125$	$\log_{5} (5^{3})$	5	3	3

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Precalculus Mathematics for Calculus

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Evaluating Logarithms Evaluate the expression.
(a) $\log_{3} 3^{7}$ (b) $\log_{4} 64$ (c) $\log_{5} 125$

Step by Step Solution

Part a. Step 1. Given.

Part a. Step 2. To determine.

Part a. Step 3. Calculation.

Part b. Step 1. Given.

Part b. Step 2. To determine.

Part b. Step 3. Calculation.

Part c. Step 1. Given.

Part c. Step 2. To determine.

Part c. Step 3. Calculation.

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Precalculus Mathematics for Calculus

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Evaluating Logarithms Evaluate the expression.(a) log3 37 (b) log4 64 (c) log5 125

Step by Step Solution

Part a. Step 1. Given.

Part a. Step 2. To determine.

Part a. Step 3. Calculation.

Part b. Step 1. Given.

Part b. Step 2. To determine.

Part b. Step 3. Calculation.

Part c. Step 1. Given.

Part c. Step 2. To determine.

Part c. Step 3. Calculation.

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Evaluating Logarithms Evaluate the expression.
(a) $\log_{3} 3^{7}$ (b) $\log_{4} 64$ (c) $\log_{5} 125$