Express in Terms of Logarithms of X, Y, Z, or W

question 4

Multiple Choice

Express in terms of logarithms of x, y, z, or w. $\log _ { 7 } \frac { x ^ { 4 } w } { y ^ { 2 } z ^ { 3 } }$

• A) 4log ₇ ( x ) + log ₇ ( w ) - 3log ₇ ( y ) - 2log ₇ ( z )
• B) 4log ₇ ( x ) + log ₇ ( w ) + 2log ₇ ( y ) + 3log ₇ ( z )
• C) log ₇ ( x ) + log ₇ ( w ) - log ₇ ( y ) + log ₇ ( z )
• D) 4log ₇ ( x ) + log ₇ ( w ) - 2log ₇ ( y ) - 3log ₇ ( z )
• E) 4log ₇ ( x ) - log ₇ ( w ) + 2log ₇ ( y ) - 3log ₇ ( z )

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Definitions:

M2

A measure of the money supply that includes cash, checking deposits, and easily convertible near-money instruments, such as savings deposits and money market securities.

Reserve Ratio

The fraction of depositors' balances that banks must have on hand as cash, a requirement set by central banking authorities.

Gold Coins

Metal currency minted from gold, historically used as both a medium of exchange and store of value.

Receipts

Documents that acknowledge the receipt of goods or services or the receipt of money, often serving as proof of transaction.