What is the value of y if log <base 5> <index -7> = y?

Mathematics

1 answer:

Dvinal [7]2 years ago

6 0

Answer:

Hence, the value of y is undefined.

Step-by-step explanation

$log_{5} (-7) = \frac{log(-7)}{log(5)}$ from the property, log_a (b) = (log(a))/log(b).

The value log (-7) was not defined. So, the entire log value also not defined.

Hence, the value of y is undefined.

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The least common denominator of two fractions is 20. If you subtract the two denominations, you get 1. What are the denominators

LekaFEV [45]

Steps
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Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.

Then add (or subtract) the fractions, as we wish!
your denominators stay the same so its 20

6 0

3 years ago

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Andrew [12]

Given the recursive formula, each terms is five time the previous one.

This means that:

$f(6)$ is 5 times $f(5)$ , which means $f(6)=5f(5)$
in turn, $f(5)$ is 5 times $f(4)$ , so we have $f(5)=5f(4)$ . This means that $f(6)=5f(5)=5\cdot 5f(4) = 25f(4)$
Finally, $f(4)=5f(3)$ So, substituting this back gives