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How do you express #log_3 42# in terms of common logs?

Answer 1

Serenity Johnson

#log_3 42=3.4022#

Common logs means logarithm with base a #10#.

Here we have been given base #3#, so let us convert it to base #10#

Let #log_3 42=x#, then #3^x=42#

and taking logarithm to base #10# on both sides, we get from tables

#xlog3=log42# and hence #x=log42/log3=1.6232/0.4771=3.4022#

Hence #log_3 42=3.4022#

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Answer 2

Serenity Jones

#log_3 42#

Expand it into prime factors: #=log_3 3 + log_3 14# #=1+log_3 14#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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