Solve the exponential equation algebraically.Approximate the result to three decimal places.

Question

Solve the exponential equation algebraically.Approximate the result to three decimal places. ​  ​

Quizplus · Accepted Answer

Taking the natural logarithm of both sides, we have:
ln(11eacce6_1fe5_f54c_9f49_e70e24b77bd5_TB7896_11) = ln(11) + ln(eacce6_1fe5_f54c_9f49_e70e24b77bd5_TB7896_11)
=ln(11) + (ln(eacce6_1fe5_f54c_9f49_e70e24b77bd5_TB7896_11) - ln(10))
≈2.397
Solving for the variable, we have:
e^(ln(11eacce6_1fe5_f54c_9f49_e70e24b77bd5_TB7896_11)) ≈ e^2.397
11eacce6_1fe5_f54c_9f49_e70e24b77bd5_TB7896_11 ≈ 10.991
Rounding to three decimal places, we get:
11eacce6_1fe5_f54c_9f49_e70e24b77bd5_TB7896_11 ≈ 10.991
The only option that matches this value is D.

Solve the Exponential Equation Algebraically