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cluponka [151]
3 years ago
12

Rewrite log[(ac^3/b)]using the properties of logarithms

Mathematics
1 answer:
stellarik [79]3 years ago
6 0

Answer:

1st option

Step-by-step explanation:

log( \frac{a {c}^{3} }{b} ) \\ = log(a {c}^{3}) - logb \\  = loga + log{c}^{3}  - logb \\  = loga + 3logc - logb

note that the cube is only for c not a

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What is the value of i^n in if the remainder of n/4 is 2?
LekaFEV [45]

The value of {i^n} is \boxed{ - 1} if the remainder of \dfrac{n}{4} is 2.

Further Explanation:

Given:

The remainder of \dfrac{n}{4} is 2.

Explanation:

The sum of imaginary numbers and real numbers is known as the complex number.

The complex number can be expressed as follows,

\boxed{z = a + ib}

Here, a is the real part of the complex number and \text{ib} is the imaginary part of the complex number.

\sqrt{ - 1} can be denoted by i.

The value of {i^2} is -1.

{i^2} =  - 1

The value {i^3} can be obtained as follows,

\begin{aligned}{i^3}&= {i^2} \times i\\&= - 1 \times i \\&= - i\\\end{aligned}

The value {i^4} can be obtained as follows,

\begin{aligned}{i^4} &= {i^2} \times {i^2}\\&= - 1 \times - 1 \\&= 1\\\end{aligned}

The value of {i^n} is \boxed{ - 1} if the remainder of \dfrac{n}{4} is 2.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Complex numbers

Keywords: value, i^ n, remainder, n/4, 2 quotient, divisor, complex number, imaginary number, real number, exponents, dividend, powers, -1, imaginary roots.

5 0
2 years ago
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1. f(x) + 3
lora16 [44]

Answer:

Step-by-step explanation:

Correct me is I'm wrong but I believe its a independent variable.

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Solve for x<br> -4+4x=16
vesna_86 [32]
X=5 because 4x5=20 and 20-4=16
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What is the root of the equation 2x + 10 = f(x)?
Korolek [52]

Answer:

x=-5

Step-by-step explanation:

2x+10=0

2x=-10

x=-5

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2 years ago
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The perimeter of a regular polygon is 45 inches the length of one side is 7.5 inches name the polygon by the number of its sides
Olenka [21]
I’m pretty positive it is an octagon
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