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How do you calculate #log_4 43# with a calculator?

Answer 1

Madelyn Anderson

#ln(43)/ln(4)#

If your calculator doesn't have the #log_4# function, you should know that the definition of #log_n(x)# is:

#log_color(red)(n)(color(blue)(x))=ln(color(blue)(x))/ln(color(red)(n))#

note : #log_10# is often written just #log#

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Answer 2

Elijah Allen

You can calculate ( \log_4 43 ) using a calculator by applying the change of base formula for logarithms:

[ \log_4 43 = \frac{\log 43}{\log 4} ]

Simply divide the natural logarithm of 43 by the natural logarithm of 4 to find the value.

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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.