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Single Variable Calculus

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Moderate

Logarithms: Break It Down

SVCALC-UVP6KR

Expand (completely) the single logarithm into a sum and difference of logs.

$$\log _{ 5 }{ \frac { 5x\sqrt { y } }{ { z }^{ 2 } } }$$

A

$\log _{ 5 }{ 5x+\log _{ 5 }{ \sqrt { y } +2\log _{ 5 }{ z } } } $

B

$\log _{ 5 }{ 5xy-\log _{ 5 }{ { z }^{ 2 } } }$

C

$1+\log _{ 5 }{ x } +\frac { 1 }{ 2 } \log _{ 5 }{ y } -2\log _{ 5 }{ z }$

D

$\log _{ 5 }{ \left( 5+x+\sqrt { y } -{ z }^{ 2 } \right) } $

E

This expression cannot expand into the sum and difference of logs.