If log 2 = 0.3010 and log 3 = 0.4771,then 3 =
A) 0.4471 - 0.3010
B) 0.3010 - 0.4771
E) (0.3010)(0.4771)

Name: If log 2 = 0.3010 and log 3 = 0.4771,then 3 = A) 0.4471 - 0.3010 B) 0.3010 - 0.4771 E) (0.3010)(0.4771)
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Question

If log 2 = 0.3010 and log 3 = 0.4771,then  3 =
A) 0.4471 - 0.3010 
B) 0.3010 - 0.4771 
E) (0.3010)(0.4771)

Quizplus · Accepted Answer

Using the properties of logarithms, we can find log 9 as:

log 9 = log (3^2) = 2 log 3

Substituting the given values:

log 9 = 2(0.4771) = 0.9542

Now, we can find log 3/9 as:

log 3/9 = log 3 - log 9 = 0.4771 - 0.9542

Simplifying:

log 3/9 = -0.4771

Therefore, the answer is C.

If Log 2 = 0