Use the Laws of Logarithms to Write the Expression as the Logarithm

question 29

Multiple Choice

Use the laws of logarithms to write the expression as the logarithm of a single quantity. 4 ln 5 - $\frac{5}{6}$ ln (x + 6)

• A) \(\frac{5 \ln 625}{6(x+6)}\)
• B) \(\ln 5^{4}-\ln (x+6)^{5 / 6}\)
• C) \(\frac{4 \ln 5}{\frac{5}{6} \ln (x+6)}\)
• D) \(\ln \frac{625}{(x+6)^{5 / 6}}\)

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Definitions:

Substitutes

Goods or services that can be used in place of each other, where an increase in the price of one leads to an increase in the demand for the other.

Quinoa

A grain crop known for its edible seeds, grown as a staple food for its nutritional value.

Teff

A grain native to Ethiopia and Eritrea, known for its nutritional properties and used to make traditional dishes like injera.

Newsprint

A low-cost, non-archival paper commonly used for newspapers and other publications.