All categories

1 year ago

Write each number as a logarithm with base 2:-3

Mathematics

1 answer:

expeople1 [14]1 year ago

7 0

The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)

<h3>What are logarithms?</h3>

As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms

<h3>How to rewrite the number as a logarithm?</h3>

The number is given as:

x = -3

The base of the logarithm is given as:

Base = 2

To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2

This is represented as:

Number =2^-3

Apply the power rule of indices

Number =1/2^3

Evaluate the exponent

Number = 1/8

Evaluate the quotient

Number = 0.125

Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)

You might be interested in

Identify the vertex<br><br> y= —(x — 6)^2 + 2

alisha [4.7K]

(6,2)

Mark brainliest please

Hope this helps you

8 0

3 years ago

the perimeter of a rectangle is 34 units. it’s width is 6.5 units. write the equation to determine the length of the rectangle

zubka84 [21]

Answer:

4 units

Step-by-step explanation:

Perimeter formula is P = 2L + 2W. Here P = 34 units = 2L + 2(6.5 units).

Reducing this, 17 = L + 13. Then L = 4 units.

4 0

2 years ago

Use the quadratic formula to find the solutions for..<br> y = 2x^2 - 9x + 5.

Yakvenalex [24]

Answer: $x=\frac{9}{4}-\frac{\sqrt{41} }{4} \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}$

Step-by-step explanation:

$2x^2-9x+5$

a=2

b=-9

c=5

$x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}$

$x=\frac{-(-9)\frac{+}{}\sqrt{(-9)^2-4(2)(5)} }{2(2)}$

$x=\frac{9\frac{+}{}\sqrt{81-40} }{4}$

$x=\frac{9\frac{+}{}\sqrt{41} }{4}$

$x=\frac{9}{4}-\frac{\sqrt{41} }{4} \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}$

4 0

3 years ago

Solve the equation. 9 - 19= 18 9=

marishachu [46]

Answer:

If you put it in your calculator you should get the right answer

Step-by-step explanation:

3 0

2 years ago

At a local preschool there is s as ratio of 3 boys to every 4 girls. If their are 245 total preschoolers enrolled how many are b

Zepler [3.9K]

Number of boys enrolled is 105

<em><u>Solution:</u></em>

Given that, At a local preschool there is s as ratio of 3 boys to every 4 girls

There are 245 total preschoolers

Ratio of boys and girls = 3 : 4

Number of boys : number of girls = 3 : 4

Let the number of boys be 3x

Let the number of girls be 4x

Total number of preschoolers = 245

Therefore,

number of boys + number of girls = 245

3x + 4x = 245

7x = 245

x = 35

Number of boys = 3x = 3(35) = 105

Thus number of boys is 105

3 0

3 years ago