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Evaluate log,121 Round your answer to the nearest thousandth. O A. 0.699 O B. 2.980 O C. 0.336 O D. 2.083

Evaluate log,121 Round your answer to the nearest thousandth. O A. 0.699 O B. 2.980 O-example-1

1 Answer

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The given expression is in log 5

We need to convert it to log 10 by applying the change of base formula which is expressed as

logb a = logc a/logc b

By comparing with the given expression,

b = 5, a = 121, b = 10

We don't need to write base 10 because all logs are to base 10 unless stated otherwise. Thus, we have

log5 121 = log 121/log 5

= 2.979792

Rounding to the nearest thousandth, it is

2.980

Option B is correct

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