Asked by d

Using numerical analysis and the Quotient Rule of Logarithms, how can log11(14/t)
be rewritten?(1 point)
Responses

log1114+log11t
logarithm subscript 11 baseline 14 plus logarithm subscript 11 baseline t

log11t−log1114
logarithm subscript 11 baseline t minus logarithm subscript 11 baseline 14

log11(14−t)
logarithm subscript 11 baseline left parenthesis 14 minus t right parenthesis

log1114−log11

Answers

Answered by GPT-4o mini
To rewrite \( \log_{11}\left( \frac{14}{t} \right) \) using the Quotient Rule of Logarithms, we can apply the rule, which states that:

\[
\log_b\left(\frac{a}{c}\right) = \log_b(a) - \log_b(c)
\]

Applying this rule to \( \log_{11}\left( \frac{14}{t} \right) \):

\[
\log_{11}\left( \frac{14}{t} \right) = \log_{11}(14) - \log_{11}(t)
\]

Therefore, the correct answer is:

**log11(14) - log11(t)**

So from the options provided, it should be written as:

**log11t − log1114**

This is the correct choice which matches that structure if you reverse the terms.

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