Evaluate the logarithm using the change of base formula. Round to 3 decimal places.
A)0.402
B)2.485
C)9.411
D)4.836
E)2.100

Question

Evaluate the logarithm  using the change of base formula. Round to 3 decimal places.
A)0.402 
B)2.485 
C)9.411 
D)4.836 
E)2.100

Quizplus · Accepted Answer

Using the change of base formula, we have:

log(11eb80b1_b01d_ed11_a291_515dece5db45_TB8633_11) = log(11eb80b1_b01d_ed11_a291_515dece5db45_TB8633_11)/log(10)

Using a calculator to find log(11eb80b1_b01d_ed11_a291_515dece5db45_TB8633_11) and log(10), we get:

log(11eb80b1_b01d_ed11_a291_515dece5db45_TB8633_11) ≈ 2.485
log(10) = 1

Therefore,

log(11eb80b1_b01d_ed11_a291_515dece5db45_TB8633_11) = 2.485/1 ≈ 2.485

Rounded to 3 decimal places, the answer is B) 2.485.

Evaluate the Logarithm Using the Change of Base Formula