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

question 151

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) \(5 + \frac { \ln 6 } { \ln 5 } \approx 10.113\)

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Definitions:

Root

The basic part of a word, carrying its core meaning, from which other words can be formed by adding prefixes or suffixes.

Na:

Symbol for Sodium, a chemical element with atomic number 11, essential for living organisms.

AD

Can stand for Anno Domini (in the year of our Lord), Alzheimer's disease, or, in medical prescriptions, it often refers to the right ear, from "auris dextra."

HSG

Hysterosalpingography, a radiographic procedure to examine the uterus and fallopian tubes often used in infertility diagnosis.