# How do you use a calculator to evaluate the expression #log0.03# to four decimal places?

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You cannot directly evaluate the expression ( \log(0.03) ) on a standard calculator because the logarithm of a number less than or equal to zero is undefined. However, you can find ( \log(0.03) ) indirectly by using properties of logarithms and converting the expression into a form that can be evaluated.

( \log(0.03) ) is equivalent to ( \log(3 \times 10^{-2}) ), which can be rewritten as ( \log(3) + \log(10^{-2}) ) using the logarithm product rule.

Since ( \log(10^{-2}) = -2 ) (because ( 10^{-2} = 0.01 )), you can substitute this value into the expression:

( \log(3) + (-2) )

Now, you can use a calculator to find ( \log(3) ) and then subtract 2 from the result to get ( \log(0.03) ). Make sure your calculator is set to provide logarithms to the base 10.

So, the process involves:

- Find ( \log(3) ).
- Subtract 2 from the result to get ( \log(0.03) ).

Ensure that you round the final result to four decimal places.

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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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