Solve the Exponential Equation Algebraically $3 ^ { 8 x } = 2400$

question 38

Multiple Choice

Solve the exponential equation algebraically.Approximate the result to three decimal places.​ $3 ^ { 8 x } = 2400$ ​

• A) \(\frac { \ln 2400 } { 8 \ln 3 } \approx 0.018\)
• B) \(\frac { \ln 2400 } { 8 \ln 3 } \approx 0.886\)
• C) \(\frac { \ln 2400 } { 8 \ln 3 } \approx 0.089\)
• D) \(\frac { \ln 2400 } { 8 \ln 3 } \approx - 0.886\)
• E) \(\frac { \ln 2400 } { 8 \ln 3 } \approx 1.248\)

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Definitions:

Paul Revere's Engraving

A famous engraving by Paul Revere that depicted the 1770 Boston Massacre, which played a significant role in galvanizing public sentiment against British rule in the American colonies.

Boston Massacre

An event in 1770 in which British soldiers killed five civilian men in Boston, fueling anger that contributed to the American Revolutionary War.

Indignation

A feeling of anger or annoyance provoked by what is perceived as unfair treatment.

Underlying Tension

The existing but concealed disagreements, issues, or conflict between individuals or groups that could potentially become more evident or erupt into a more pronounced conflict.