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2 years ago

Write as logarithm with base 4: 4 -5 2 -4

Mathematics

1 answer:

NeX [460]2 years ago

8 0

Answer:

log_4(256)=4

log_4(1/1024)=-5

log_4(16)=2

log_4(1/256)=-4

Step-by-step explanation:

We want to write a number, x, such that

Log_4(y)=x.

In exponential form that is 4^x=y.

So first number is x=4.

4^4=256 which means log_4(256) is 4 as a logarithm with base 4.

The second number is x=-5.

4^-5=1/4^5=1/1024 which means log_4(1/1024) is -5 as a logarithm with base 4.

The third number is x=2.

4^2=16 so log_4(16) is 2 as a logarithm with base 4.

The fourth number is x=-4.

Since 4^4=256 then 4^-4=1/256 which means -4 as a logarithm with base 4 is log_4(1/256).

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Answer:

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Step-by-step explanation:

Given:

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2 years ago

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Yanka [14]

Answer:

(4/3, 7/3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations of using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

7x - y = 7

x + 2y = 6

Step 2: Rewrite Systems

Equation: x + 2y = 6

[Subtraction Property of Equality] Subtract 2y on both sides: x = 6 - 2y

Step 3: Redefine Systems

7x - y = 7

x = 6 - 2y

Step 4: Solve for y

Substitution

Substitute in x: 7(6 - 2y) - y = 7
Distribute 7: 42 - 14y - y = 7
Combine like terms: 42 - 15y = 7
[Subtraction Property of Equality] Subtract 42 on both sides: -15y = -35
[Division Property of Equality] Divide -15 on both sides: y = 7/3

Step 5: Solve for x

Define original equation: x + 2y = 6
Substitute in y: x + 2(7/3) = 6
Multiply: x + 14/3 = 6
[Subtraction Property of Equality] Subtract 14/3 on both sides: x = 4/3

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3 years ago

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Answer:

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Step-by-step explanation:

volume = length * width * height

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3 years ago

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(A)

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