Write the Expression as a Single Logarithm with Coefficient 1 $3 \log _ { m } y - 7 \log _ { m } x ^ { 2 }$

question 178

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers.
- $3 \log _ { m } y - 7 \log _ { m } x ^ { 2 }$

• A) \(\log _ { m } \left( \frac { 3 y } { 7 x ^ { 2 } } \right)\)
• B) \(\log _ { m } \left( \frac { \mathrm { y } ^ { 3 } } { \mathrm { x } ^ { 14 } } \right)\)
• C) \(\log _ { m } \left( \frac { y ^ { 3 } } { x ^ { 9 } } \right)\)
• D) \(\frac { \log _ { m } \mathrm { y } ^ { 3 } } { \log _ { \mathrm { m } } 14 }\)

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Definitions:

Debit Cards

Plastic cards issued by banks that allow cardholders to transfer money electronically from their bank account when making a purchase.

Grace Period

A set period of time after the due date during which payment can be made without penalty.

M2

A money aggregate consisting of M1 plus savings deposits, small-denomination time deposits, money market mutual funds, and other miscellaneous near-monies.

Near-Monies

Assets that are easily convertible into cash but are not cash themselves, such as savings accounts and time deposits.