Expand into a Sum And/or Difference of Logarithms of a and B

question 131

Multiple Choice

Expand into a sum and/or difference of logarithms of a and b. Assume all variables represent positive real numbers. $\log _ { 8 } \left( \frac { a ^ { 4 } } { \sqrt { b } } \right)$

• A) \(4 \log _ { 8 } a - \frac { 1 } { 2 } \log _ { 8 } b\)
• B) \(\frac { \log _ { 8 } a ^ { 4 } } { \frac { 1 } { 2 } \log _ { 8 } b }\)
• C) \(\log _ { 8 } 4 a + \log _ { 8 } \frac { b } { 2 }\)
• D) \(4 \log _ { 8 } a + \frac { 1 } { 2 } \log _ { 8 } b\)

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Definitions:

RC Parallel Circuit

A circuit configuration consisting of a resistor (R) and a capacitor (C) connected in parallel, often used in electrical networks to filter or time-delay signals.

R

Represents the symbol for resistance in electrical circuits, measuring how much an object opposes the passage of electrons.

RC Parallel Circuit

An electrical circuit that contains both a resistor (R) and a capacitor (C) connected in parallel.

R

Symbol commonly used to represent resistance in an electrical circuit.