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Dovator [93]
3 years ago
8

Rewrite the expression as an equivalent ratio of logs using the indicated base.log17(52.875) to base 10.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

log_{17}52.875 = log_{10}52.875 : log_{10}17}

Step-by-step explanation:

Given

log_{17}(52.875)

Required

Convert to base 10

To do this, we make use of the following logarithm laws;

log_ba = \frac{log_{10}a}{log_{10}b}

In the given parameters;

a = 52.875

b = 17

Substitute these values in log_ba = \frac{log_{10}a}{log_{10}b}

log_{17}52.875 = \frac{log_{10}52.875}{log_{10}17}

Represent as a ratio

log_{17}52.875 = log_{10}52.875 : log_{10}17}

Hence;

log_{17}(52.875) is represented as log_{17}52.875 = log_{10}52.875 : log_{10}17}

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Reptile [31]

Answer:

Third one is correct because it says it must be more than 2 not 2 or more.

The one you choose would be like, it must be 2 or more.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
4/5 divided by 1/3 plus 1/5 minus 3/5
r-ruslan [8.4K]

Answer:

  \frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}=-12

Step-by-step explanation:

Considering the expression

\frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}

Solution Steps:

\frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}

as

\mathrm{Combine\:the\:fractions\:}\frac{1}{5}-\frac{3}{5}:\quad -\frac{2}{5}

so

=\frac{\frac{4}{5}}{\frac{1}{3}-\frac{2}{5}}    

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}

=\frac{4}{5\left(\frac{1}{3}-\frac{2}{5}\right)}

join  \frac{1}{3}-\frac{2}{5}:\quad -\frac{1}{15}

so

=\frac{4}{5\left(-\frac{1}{15}\right)}

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

=\frac{4}{-5\cdot \frac{1}{15}}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}

=-\frac{4}{5\cdot \frac{1}{15}}

\mathrm{Multiply\:}5\cdot \frac{1}{15}\::\quad \frac{1}{3}

so

=-\frac{4}{\frac{1}{3}}

\mathrm{Simplify}\:\frac{4}{\frac{1}{3}}:\quad \frac{12}{1}

so

=-\frac{12}{1}

\mathrm{Apply\:rule}\:\frac{a}{1}=a

=-12

Therefore

                  \frac{\frac{4}{5}}{\frac{1}{3}+\frac{1}{5}-\frac{3}{5}}=-12

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3 years ago
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puteri [66]
It would be the 30/3 one
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When working with the square root of a number, when would you have only a positive answer and when would you have both a positiv
Rama09 [41]
<span>Lets make it clear: You would have a positive answer when the value you are looking for has to be a positive number. On the other hand you would have a positive and a negative answer when you take the square root of something that doesn't have to be positive. it could be either because when a negative number is squared it becomes positive and when a positive number is squared it stays positive as well.</span>
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The value of the card was $13 when he originally purchased it.
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