Rewrite the Exponential Equation $5 ^ { - 3 } = \frac { 1 } { 125 }$

question 77

Multiple Choice

Rewrite the exponential equation $5 ^ { - 3 } = \frac { 1 } { 125 }$ in logarithmic form.

• A) \(\log _ { 5 } 125 = - 3\)
• B) \(\log _ { 125 } 5 = - 3\)
• C) \(\log _ { 3 } 125 = - 3\)
• D) \(\log _ { 5 } \frac { 1 } { 125 } = - 3\)
• E) \(\log _ { 5 } \frac { 1 } { 125 } = 3\)

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Definitions:

Transmit Motion

The process of transferring movement from one part of a mechanical system to another, often involving gears, belts, or cam mechanisms.

Reciprocating Motion

A type of movement where an object or part moves back and forth along a straight line, as seen in pistons and pumps.

Mechanical Advantage

The ratio of the output force produced by a mechanical system to the input force applied, a measure of the efficiency of the system.

Mechanical Advantage

The ratio of the force produced by a machine to the force applied to it, used in mechanical systems to gain a greater output force from a smaller input force.