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KATRIN_1 [288]
3 years ago
8

Expanding Logarithmic Expressions In Exercise, use the properties of logarithms to rewrite the expression as a sum, difference,

or multiple of logarithms.
In (x^2(x - 1))1/2
Mathematics
1 answer:
aev [14]3 years ago
6 0

Answer:

The simplified expression is:

\ln{x} + \frac{\ln{(x-1)}}{2}

Step-by-step explanation:

We have those following logarithmic properties:

\ln{\frac{a}{b}} = \ln{a} - \ln{b}

\ln{a*b} = \ln{a} + \ln{b}

\ln{a^{n}} = n\ln{a}

In this problem, we have that:

\ln{x^{2}(x-1)}^{1/2}

Applying these properties

\frac{1}{2}*(\ln{x^{2} + \ln{(x-1)})

\ln{x} + \frac{\ln{(x-1)}}{2}

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3 years ago
I REALLY NEED HELP!!
Nitella [24]

Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.

<h3>What is an invertible function?</h3>

An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).

In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:

f⁻¹(f(6.022)) = 6.022.

From the table, we have:

f⁻¹(-10) = -6

f(-6) = -10

Therefore, f⁻¹(-10) + f(-6) is given by:

f⁻¹(-10) + f(-6) = -6 - 10

f⁻¹(-10) + f(-6) = -16.

Read more on invertible function here: brainly.com/question/15635761

#SPJ1

7 0
2 years ago
Plz awnser because Aleks is dumb
Black_prince [1.1K]
Since you know it's a square, you also know that all the sides are 3 2/3. So to find area you multiply, so 3 2/3 x 3 2/3. An easy way to do this is convert it to a mixed number (11/3) and then multiply: 
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3 years ago
- 5 + (-4) =? It is alittle short so please help me
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The answer would be -9 because when you add two negatives the answer would be a negative
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