Use a change-of-base formula to evaluate with a calculator or other technology. Round your answer to four decimal places.
A) 0.3801
B) 3.1754
C) 2.6309
D) 3.9890
E) 3.0445

Question

Use a change-of-base formula to evaluate  with a calculator or other technology. Round your answer to four decimal places. ​
A) 0.3801 
B) 3.1754 
C) 2.6309 
D) 3.9890 
E) 3.0445

Quizplus · Accepted Answer

Using the change-of-base formula, we have:

logTB(11ea984b_ade2_c391_9029_59a4d40f56d2) = log(11ea984b_ade2_c391_9029_59a4d40f56d2) / log(TB)

Using a calculator or other technology to evaluate log(11ea984b_ade2_c391_9029_59a4d40f56d2) and log(TB), we get:

log(11ea984b_ade2_c391_9029_59a4d40f56d2) ≈ 35.9624
log(TB) ≈ 13.3319

Substituting these values into the change-of-base formula, we get:

logTB(11ea984b_ade2_c391_9029_59a4d40f56d2) ≈ 35.9624 / 13.3319 ≈ 2.6309

Rounding this answer to four decimal places, we get 2.6309. Therefore, the best choice is C.

Use a Change-Of-Base Formula to Evaluate with a Calculator