Express the following as a single logarithm.

asked Jul 25, 2024 146k views

4 votes

by Quape

7.9k points

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4 votes

Answer:

$\log_b (7(x^2 + 1)^2 y^3)/(z^(1)/(5))$

Explanation:

$4 \log_b √(x^2 + 1) + 3 \log_b y + \log_b 7 - (1)/(5)\log_b z =$

$= 4 \log_b (x^2 + 1)^(1)/(2) + \log_b y^3 + \log_b 7 - \log_b z^(1)/(5)$

$= \log_b (x^2 + 1)^2 + \log_b y^3 + \log_b 7 - \log_b z^(1)/(5)$

$= \log_b ((x^2 + 1)^2 y^3 * 7)/(z^(1)/(5))$

$= \log_b (7(x^2 + 1)^2 y^3)/(z^(1)/(5))$

Shoelaced answered Jul 30, 2024

9.0k points

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