Use the One-To-One Property of Logarithms to Solve Logarithmic Equations $$\log _ { 7 } x ^ { 2 } = \log _ { 7 } ( 5 x + 36 )$$

question 77

Multiple Choice

Use the One-to-One Property of Logarithms to Solve Logarithmic Equations
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.
- $$\log _ { 7 } x ^ { 2 } = \log _ { 7 } ( 5 x + 36 )$$

• A) \(\{ 9 , - 4 \}\)
• B) \(\{ 9 \}\)
• C) \(\left\{ \frac { 9 } { 7 } \right\}\)
• D) \(\varnothing\)

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Definitions:

Normal Distribution

A statistical distribution where data forms a symmetrical bell-shaped curve around the mean, often found in natural and social phenomena.

Bimodal Distribution

A probability distribution with two different modes or peaks, representing two prevalent values in a dataset.

Creativity

The use of the imagination or original ideas to create something; a process involving the generation of new, innovative solutions or expressions.

Imaginatively

In a manner that shows creativity or inventiveness, especially in solving problems or creating artistic works.