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2 years ago

Which shows the first step in the solution to the equation log2x log2(x – 6) = 4?.

Mathematics

1 answer:

Olenka [21]2 years ago

5 0

The first step is to solve the equation by using the base property.

Given

Equation; log2x + log2(x – 6) = 4

<h3>What is logarithmic property?</h3>

The logarithmic function is an inverse function to exponentiation.

The equation is solved in the following steps given below.

$\rm log_2x+log_2(x- 6) = 4 \\\\log_2(x \times (x-6)=4\\\\x\times (x-6)=2^4\\\\x^2-6x=16\\\\x^2-6x-16=0\\\\$

Hence, the first step is to solve the equation by using the base property.

To know more log properties click the link given below.

brainly.com/question/2957521

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Find the property of this : 5x*(4y+3x)=5x*(3+4y)

7nadin3 [17]

Simplifying
5x(4y + 3x) = 5x(3x + 4y)

Reorder the terms:
5x(3x + 4y) = 5x(3x + 4y)
(3x * 5x + 4y * 5x) = 5x(3x + 4y)

Reorder the terms:
(20xy + 15x2) = 5x(3x + 4y)
(20xy + 15x2) = 5x(3x + 4y)
20xy + 15x2 = (3x * 5x + 4y * 5x)

Reorder the terms:
20xy + 15x2 = (20xy + 15x2)
20xy + 15x2 = (20xy + 15x2)

Add '-20xy' to each side of the equation.
20xy + -20xy + 15x2 = 20xy + -20xy + 15x2

Combine like terms: 20xy + -20xy = 0
0 + 15x2 = 20xy + -20xy + 15x2
15x2 = 20xy + -20xy + 15x2

Combine like terms: 20xy + -20xy = 0
15x2 = 0 + 15x2
15x2 = 15x2

Add '-15x2' to each side of the equation.
15x2 + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
0 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

4 0

3 years ago

Read 2 more answers

Find a1, for the given geometric series. Round to the nearest hundredth if necessary. Sn= 86,830, r= 2.2, n=4

larisa86 [58]

Answer:

4,646.30

Step-by-step explanation:

The sum of n terms of geometric sequence can be calculated using formula

$S_n=\dfrac{a_1(1-r^n)}{1-r}$

In your case,

$S_n=86,830\\ \\r=2.2\\ \\n=4\\ \\a_1=?$

Substitute into the formula:

$S_4=\dfrac{a_1(1-2.2^4)}{1-2.2}\\ \\86,830=\dfrac{a_1(1-23.4256)}{-1.2}\\ \\-104,196=a_1(-22.4256)\\ \\22.4256a_1=104,196\\ \\a_1=\dfrac{104,196}{22.4256}\approx 4,646.30$

5 0

4 years ago

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 50 47 68 48 53 53 Based on the data, wh

Ghella [55]

The difference between the median of the data, including the possible outlier, and excluding the possible outlier is 2.

<h2>Given that</h2>

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 50 47 68 48 53 53 Based on the data.

<h3>We have to determine</h3>

What is the difference between the median of the data, including the possible outlier, and excluding the possible outlier?

<h3>According to the question</h3>

The number of lattes sold daily for two coffee shops is shown in the table: Lattes 55 52 50 47 68 48 53 53 Based on the data.

The data set with the outlier is 20, 41, 45, 48, 52, 55, 56, 57; Meaning the median falls in between 48 and 52, which is 50.

Then the data set without the outlier is 41, 45, 48, 52, 55, 56, 57; Making the median here 52.

Therefore,

The difference between the median of the data, including the possible outlier, and excluding the possible outlier is

= 52 -50 = 2

Hence, The difference between the median of the data, including the possible outlier, and excluding the possible outlier is 2.

To know more about Median click the link is given below.

brainly.com/question/13279523

6 0

2 years ago

What is the length of side BC? Round the answer to the nearest tenth.

Nostrana [21]

Answer:

The length of side BC is 2.8 units

Step-by-step explanation:

* Lets revise how to find the distance between two points

- If there are two points their coordinates are (x1 , y1) and (x2 , y2),

then we can find the distance between them by this rule:

d = √[(x2 - x1)² + (y2 - y1)²]

- Now lets solve the problem

∵ B = (3 , 3)

∵ C = (5 , 1)

- To find the length of BC use the rule of the distance above

- Let point B is (x1 , y1) and point C is (x2 , y2)

∵ x1 = 3 and x2 = 5

∵ y1 = 3 and y2 = 1

∴ BC = √[(5 - 3)² + (1 - 3)²]

∴ BC = √[(2)² + (-2)²]

∴ BC = √[4 + 4] = √8 = 2.8 units

* The length of side BC is 2.8 units

7 0

3 years ago

Read 2 more answers

2+?=-1 I don’t know what this is

nydimaria [60]

Answer:

x=-3

Step-by-step explanation:

lets make the "?" to a "x"

2+x=-1

do the math and its x=-3

so that means 2+-3=-1

3 0

3 years ago

Read 2 more answers