How do you calculate #log_5 (-28)# with a calculator?

Answer 1

See explanation.

The given logarythm cannot be calculated because #log# is only defined for positive values, but there is a procedure of calculating any legal logatrythm using a calculator.

To do this we have to use the Change of Base Formula, which is:

This formula lets us change the logarythm with non standard base to a quotient of logarythms of any other base.

Calculators don't have logarythm of base #5#, but they usually have either natural logarythm #ln# or base 10 logarythm #log#. I will explain the procedure using base #10#.

The procedure is:

Press #5# and #log# to calculate #log5#.
Press #M# to put the result in memory.
Press #28# and #log# to display #log28#
Press #-:# (division) button
Press #RM# to recall the result stored in pt. 2.
Press #=# to calculate the final result.
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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.

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.

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.

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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