Solve the Logarithmic Equation $\log ( x + 20 ) - \log 4 = \log ( 7 x + 2 )$

question 162

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.
- $\log ( x + 20 ) - \log 4 = \log ( 7 x + 2 )$

• A) \(\left\{ \frac { 4 } { 9 } \right\}\)
• B) \(\{ 26 \}\)
• C) \(\left\{ - \frac { 4 } { 9 } \right\}\)
• D) \(\{ - 26 \}\)

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Definitions:

Thoughts Racing

A condition where an individual experiences an overwhelming and rapid flow of thoughts, often associated with manic episodes in bipolar disorder.

Cyclothymic Disorder

A mood disorder characterized by fluctuating low-level depressive and hypomanic episodes.

Bipolar Disorder

Characterized as a mental disorder, it involves drastic mood variances, including high (mania or hypomania) and low (depression) emotional phases.

Bipolar Disorder

This disorder entails a notable divergence in emotional state, veering between euphoria or elevated mood (mania or hypomania) and profound sadness (depression).