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

question 38

Multiple Choice

Use the laws of logarithms to write the expression as the logarithm of a single quantity. $4 \ln 3 - \frac { 3 } { 4 } \ln ( x + 3 )$

• A) \(\ln \frac { 81 } { ( x + 3 ) ^ { 3 / 4 } }\)
• B) \(\frac { 3 \ln 81 } { 4 ( x + 3 ) }\)
• C) \(\ln 3 ^ { 4 } - \ln ( x + 3 ) ^ { 3 / 4 }\)
• D) \(\frac { 4 \ln 3 } { \frac { 3 } { 4 } \ln ( x + 3 ) }\)

Recognize the significance of observational methods in assessing cognitive development in children.

Understand Piaget's stages of cognitive development and the characteristics of each stage.

Recognize the concept of egocentric thinking and how it manifests in children’s behavior.

Identify methods to assess a child’s understanding of object permanence, conservation, and other cognitive concepts.

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Definitions:

Compounding

The financial process where an investment earns interest not only on the principal amount but also on the accumulated interest over time.

Compound Interest

This involves calculating interest on the original sum of money plus the interest that has gathered over preceding intervals, whether for a deposit or a loan.

Time Value

The viewpoint that money in one's possession now is considered more valuable than the same amount in the future, thanks to its ability to generate profits.

Money

A medium of exchange, a unit of account, and a store of value used to facilitate transactions and measure the value of goods and services.