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enyata [817]
1 year ago
5

Expand each logarithm. log 2 x³y⁻²

Mathematics
1 answer:
suter [353]1 year ago
7 0

The expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

What is a logarithmic function?

A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1

Expanding the given logarithm: log 2 x³y⁻²  

Given logarithmic expression is log 2 x³y⁻²  

Applying given properties of logarithmic function;

log a + log b = log (ab)

2 log a = log a^2

Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²

= log 3 + 3 log x - 2 log y

Hence, the expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

To learn more about the logarithmic functions, visit here:

brainly.com/question/25710806

#SPJ4

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Answer:

Two straight lines with slopes m and m' are parallel when m = m'

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Step-by-step explanation:

Let us assume that the two non-vertical lines in the slope-intercept form are

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If those two lines are parallel then we can say the slope of them will be the same i.e. m = m'

Now, if given two straight lines (1) and (2) are perpendicular to each other and neither of them is parallel to the axes, then we can write m × m' = - 1. (Answer)

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3 years ago
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
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Answer:

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Step-by-step explanation:

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Then switch the positions of -1 and +x:

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Pls consider giving my answer the Brainliest! Because it would help and mean a lot! ; )

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Step-by-step explanation:

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3 years ago
Please help what is the last one
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Idk if that is what this is asking but here it is
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