Solve the Logarithmic Equation $$\log _ { 2 } ( 3 x + 5 ) = \log _ { 2 } ( 3 x + 8 )$$

question 60

Multiple Choice

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.
- $$\log _ { 2 } ( 3 x + 5 ) = \log _ { 2 } ( 3 x + 8 )$$

• A) \(\{ 3 \}\)
• B) \(\{ 0 \}\)
• C) \(\left\{ \frac { 13 } { 3 } \right\}\)
• D) \(\varnothing\)

---

Definitions:

Perfectly Inelastic

A situation in demand where the quantity demanded does not change in response to a change in price.

Insulin

A hormone produced by the pancreas that regulates blood glucose levels by facilitating the uptake of glucose into tissues, used medically to treat diabetes.

Quantity Demanded

The total amount of a good or service that consumers are willing to buy at a given price level in a given period.

Perfectly Inelastic

Describing a situation where the quantity demanded or supplied of a good does not change in response to a price change.