Rewrite the Expression as the Sum And/or Difference of Logarithms $\log _ { 19 } \frac { \sqrt [ 6 ] { 5 } } { y ^ { 2 } x }$

question 218

Multiple Choice

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.
- $\log _ { 19 } \frac { \sqrt [ 6 ] { 5 } } { y ^ { 2 } x }$

• A) \(\frac { 1 } { 6 } \log _ { 19 } 5 - 2 \log _ { 19 } y - 2 \log _ { 19 } x\)
• B) \(\log _ { 19 } 5 - \log _ { 19 } y - \log _ { 19 } x\)
• C) \(6 \log _ { 19 } 5 - 2 \log _ { 19 } y - \log _ { 19 } 6\)
• D) \(\frac { 1 } { 6 } \log _ { 19 } 5 - 2 \log _ { 19 } y - \log _ { 19 } x\)

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Definitions:

Nominal Interest Rate

The interest rate stated on a loan or investment agreement, not adjusted for inflation, reflecting the gross interest per period.

Real Rate

The interest rate adjusted for inflation, reflecting the actual purchasing power of interest earnings.

Real Rate

The interest rate adjusted for inflation, reflecting the true cost of borrowing or the real yield on an investment.

Inflation

A rise in the general level of prices in an economy; an increase in an economy’s price level.