Evaluate the logarithm using the change of base formula. Round to 3 decimal places.
A)6.303
B)0.309
C)3.239
D)12.264
E)2.737

Question

Evaluate the logarithm  using the change of base formula. Round to 3 decimal places.
A)6.303 
B)0.309 
C)3.239 
D)12.264 
E)2.737

Quizplus · Accepted Answer

Using the change of base formula, we have:
log(11ec1854_fd93_e420_acfc_b180436a8ea6)_TBX8702_11 = log(11ec1854_fd93_e420_acfc_b180436a8ea6) / log(TBX8702_11)
Using a calculator, we can find:
log(11ec1854_fd93_e420_acfc_b180436a8ea6) ≈ 27.614
log(TBX8702_11) ≈ 8.375
So, 
log(11ec1854_fd93_e420_acfc_b180436a8ea6)_TBX8702_11 ≈ 27.614/8.375 ≈ 3.239 (rounded to 3 decimal places)

Therefore, the best choice is C.

Evaluate the Logarithm Using the Change of Base Formula