Rewrite as a Single Logarithm $4 \log _ { 4 } ( 4 x + 2 ) + 3 \log _ { 4 } ( 5 x + 3 )$

question 62

Multiple Choice

Rewrite as a single logarithm. Assume all variables represent positive real numbers.
- $4 \log _ { 4 } ( 4 x + 2 ) + 3 \log _ { 4 } ( 5 x + 3 )$

• A) \(12 \log _ { 4 } ( 4 x + 2 ) ( 5 x + 3 )\)
• B) \(\log _ { 4 } \frac { ( 4 x + 2 ) ^ { 4 } } { ( 5 x + 3 ) ^ { 3 } }\)
• C) \(\log _ { 4 } \left( ( 4 x + 2 ) ^ { 4 } ( 5 x + 3 ) ^ { 3 } \right)\)
• D) \(\log _ { 4 } \left( ( 4 x + 2 ) ^ { 4 } + ( 5 x + 3 ) ^ { 3 } \right)\)

---

Definitions:

Complementary and Alternative Medicine

Various medical practices and products not traditionally part of conventional medicine, aiming to improve health and well-being.

Electronically Transmitted

The process of sending or receiving data over electronic networks, including the internet.

Therapeutic Value

The benefit or health improvement gained from a treatment, medication, or therapy.

Software Program

A set of instructions and data that enable a computer to perform specific tasks or operations.