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How to do bases change a formula?

Answer 1

Elijah Allen

See explanation.

To change a base of #log_a x# from #a# to #b# you have to use the formula:

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Answer 2

Elias Ackerman

To change the base of a formula, you can use the following general steps:

Identify the original base of the formula.
Rewrite the formula using logarithms with the original base.
Apply the change of base formula, which states: log_b(x) = log_c(x) / log_c(b), where b is the original base, c is the desired base, and x is the argument of the logarithm.
Substitute the values into the change of base formula and simplify.
Replace the original formula with the simplified expression in the new base.

This process allows you to express the formula in a different base while preserving its mathematical equivalence.

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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.