Solve the Exponential Equation Algebraically $4 \left( 5 ^ { x - 5 } \right) = 24$

question 42

Multiple Choice

Solve the exponential equation algebraically.Approximate the result to three decimal places.​ $4 \left( 5 ^ { x - 5 } \right) = 24$ ​

• A) \(5 + \frac { \ln 6 } { \ln 5 } \approx 7.113\)
• B) \(5 + \frac { \ln 6 } { \ln 5 } \approx 9.113\)
• C) \(5 + \frac { \ln 6 } { \ln 5 } \approx 6.113\)
• D) \(5 + \frac { \ln 6 } { \ln 5 } \approx 8.113\)
• E) \(5 + \frac { \ln 6 } { \ln 5 } \approx 10.113\)

---

Definitions:

Bile

A digestive fluid produced by the liver, stored in the gallbladder, and secreted into the small intestine to aid in the digestion and absorption of fats.

Cholesterol

A waxy, fat-like substance that's found in all cells of the body, necessary for making hormones, vitamin D, and substances that help digest foods.

Salts

Ionic compounds resulting from the neutralization reaction of an acid and a base, commonly used in food and for industrial purposes.

Pancreas

A gland in the digestive system that produces enzymes for digesting food and hormones such as insulin for regulating blood sugar levels.