Solve the Equation for X $\log ( 3 x + 8 ) = - 0.3$

question 128

Multiple Choice

Solve the equation for x. Give an exact solution.
- $\log ( 3 x + 8 ) = - 0.3$

• A) \(\left\{ \frac { 10 ^ { - 0.3 } - 8 } { 3 } \right\}\)
• B) \(\left\{ 10 ^ { - 0.3 } - 8 \right\}\)
• C) \(\left\{ 3 \left( 10 ^ { - 0.3 } - 8 \right) \right\}\)
• D) \(\left\{ \frac { 10 ^ { - 0.3 } + 3 } { 8 } \right\}\)

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Definitions:

Z-score

A numerical indicator that shows how a value compares to the average of a set of values, expressed as the number of standard deviations away from the mean.

Normally Distributed

A type of continuous probability distribution for a real-valued random variable, characterized by a symmetric bell-shaped curve.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the individual values deviate from the mean.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, representing an average distance from the mean.