Condense the expression log5 21 - log5 6

Mathematics

1 answer:

arlik [135]3 years ago

7 0

Answer:

log 21 - log 6 = log 7/2

5 5 5

Step-by-step explanation:

The formula for the log of a quotient a/b is log a - log b.

Thus, log 21 - log 6 = log 21/6, or log 7/2

In your case the logs are to the base 5, so the actual answer would be:

log 21 - log 6 = log 7/2

5 5 5

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Step-by-step explanation:

Here is the complete question:

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7. Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = m x, with m > 1.

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The transformation from f(x) to g(x) is a vertical stretch by a factor of m

<h3>How to determine the transformation?</h3>

The functions are given as:

f(x) = x

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Substitute f(x) = x in g(x) = mx

g(x) = mf(x)

From the question, we understand that:

m > 1

This means that;

The transformation from f(x) to g(x) is a vertical stretch by a factor of m