Solve the System Using the Substitution Method, If Possible $\log ( x + 5 ) - \log ( x - 2 ) = \log 6$

question 45

Multiple Choice

Solve the system using the substitution method, if possible. $\log ( x + 5 ) - \log ( x - 2 ) = \log 6$

• A) \(\left\{ \frac { 17 } { 5 } \right\}\)
• B) \(\left\{ \frac { 9 } { 5 } \right\}\)
• C) \(\{ - 3 \}\)
• D) infinitely many solutions, dependent equations
• E) no solution, inconsistent system

---

Definitions:

Signaling Pathway

Complex networks of molecules that transmit information from external stimuli to a cell's interior, triggering specific cellular responses.

Phosphodiesterase

An enzyme that plays a critical role in cellular signaling by breaking down phosphodiester bonds within cyclic nucleotides like cAMP and cGMP.

cAMP

A second messenger important in many biological processes, known formally as cyclic adenosine monophosphate.

Phosphorylated Protein

A protein that has undergone the addition of a phosphate group, which can affect the protein's function and activity.