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Hatshy [7]
2 years ago
15

Using the change-of-base formula, which of the following is equivalent to the

Mathematics
1 answer:
Otrada [13]2 years ago
3 0

Given:

The logarithmic expression is:

\log_718

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

\log_ba=\dfrac{\log_ca}{\log_cb}

The given expression is:

\log_718

Using the change-of-base formula, we get

\log_718=\dfrac{\log_c18}{\log_c7}

Where, is a constant and c>0.

Let c=10, then

\log_718=\dfrac{\log_{10}18}{\log_{10}7}

Therefore, the correct option is a.

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By first principles, the derivative is

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Use the binomial theorem to expand the numerator:

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A power of h in every term of the numerator cancels with h in the denominator:

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