Solve the Logarithmic Equation $\log _ { 4 } ( x - 3 ) = - 3$

question 93

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.
- $\log _ { 4 } ( x - 3 ) = - 3$

• A) \(\left\{ \frac { 193 } { 64 } \right\}\)
• B) \(\left\{ - \frac { 191 } { 64 } \right\}\)
• C) \(\left\{ \frac { 193 } { 81 } \right\}\)
• D) \(\left\{ - \frac { 191 } { 81 } \right\}\)

---

Definitions:

Serotonin

A neurotransmitter involved in various functions such as mood regulation, digestion, and sleep that can affect an individual's emotional state and general well-being.

Saclike Structures

Biological pouches in organisms that serve various functions such as storage, digestion, or transport of substances.

Synaptic Knob

The small, bulbous structure at the end of a neuron's axon that releases neurotransmitters to transmit signals to another neuron.

Synaptic Vesicles

Membrane-bound sacs within a neuron that contain neurotransmitters, which are released into the synaptic cleft to transmit signals to other neurons.