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1 year ago

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When proving the product, quotient, or power rule of logarithms, various properties of logarithms and exponents must be used.

1 answer:

Bingel [31]1 year ago

7 0

When proving the properties of logarithms when exponents must be used, the property that is used in all of these is D. $log_{b} (b^y) = y$

<h3>What property is used in proving the properties of logarithms?</h3>

When proving any property of logarithms that have to do with exponents, one property that should always be used is $log_{b} (b^y) = y$ .

Expressing y as a product of $log_{b} (b^y)$ is the most basic property of using exponents on logs because it has both product, quotient, and power rules of logarithms.

Find out more on logarithmic properties at brainly.com/question/15263375.

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Multiply (5 + 3i)(5 − 3i) <br><br> 16 + 15i <br><br> 16 − 15i <br><br> 16 <br><br> 34

Annette [7]

Answer:

(5 + 3i)(5 − 3i) = 34

Step-by-step explanation:

The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:

$(a-b).(a+b)=a^{2}-b^{2}$

So, in this case:

$(5+3i).(5-3i) = 5^{2}-(3i)^{2}$

$=25-9i^{2}$

Remember that $i=\sqrt{-1}$

So: $i^{2}=-1$

We replace on the polynomial:

$=25-9.(-1) = 25+9=34$

3 0

3 years ago

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The ratio of cats to dogs at April's Animal Shelter was 3 to 2. How many dogs were in the shleter if there were a total of 75 ca

DochEvi [55]

Answer:

A:30

Step-by-step explanation:

because 3+2(the ratio) =5

75(the total number or both) divide by 5

so 1 ratio=15

15 x 2(the ratio of dogs)

=30

3 0

2 years ago

What is 6 3/4, 6 5/8, 3 1/4, 3 3/8 from least to greatest?

weeeeeb [17]

Answer:

3 1/4, 3 3/8, 6 5/8, 6 3/4

Step-by-step explanation:

4 0

2 years ago

Please help. Thank you

madam [21]

Answer:

c

Step-by-step explanation:

Pythagoras theroem

$\sqrt{(( {32}^{2}) + {12}^{2} ) }$

= 4√73

8 0

2 years ago

Write a polynomial in standard form that meets the following conditions. Assume a=1 and your function is f(x), The zeros are 5 a

jeka57 [31]

Polynomials are equations that uses variables and several terms

The polynomial in standard form is f(x) = x^2 - x -20

<h3>How to determine the polynomial</h3>

The polynomial has 2 zeros.

So, the form of the polynomial is:

f(x) = a(x - x1)(x - x2)

The zeros of the polynomial are 5 and -4.

So, the equation becomes

f(x) = a(x - 5)(x + 4)

The value of a = 1.

So, we have;

f(x) = 1(x - 5)(x + 4)

This gives

f(x) = (x - 5)(x + 4)

Expand

f(x) = x^2 - x -20

Hence, the polynomial in standard form is f(x) = x^2 - x -20

Read more about polynomials at:

brainly.com/question/2833285

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2 years ago