Use the One-To-One Property of Logarithms to Solve Logarithmic Equations $\log _ { 4 } ( x + 1 ) = 1 + \log _ { 4 } ( x - 4 )$

question 156

Multiple Choice

Use the One-to-One Property of Logarithms to Solve Logarithmic Equations
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic
expressions. Give the exact answer.
- $\log _ { 4 } ( x + 1 ) = 1 + \log _ { 4 } ( x - 4 )$

• A) \(\left\{ \frac { 17 } { 3 } \right\}\)
• B) \(\left\{ \frac { 5 } { 3 } \right\}\)
• C) \(\left\{ - \frac { 17 } { 3 } \right\}\)
• D) \(\left\{ - \frac { 5 } { 3 } \right\}\)

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Definitions:

Demand Increased

A situation where the desire or need for a product or service rises, leading to potentially higher prices and/or increased production.

Quantity Demanded

The overall volume of a good or service that individuals are prepared and capable of buying at a given price.

Demand Decreased

A situation where the desire or need for a particular product or service declines.

Demand Increased

A situation where the desire to purchase goods and services at a given price level rises, leading to higher quantity demanded.