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hoa [83]
2 years ago
15

4ln x -8=12 its giving me other equations

Mathematics
1 answer:
kogti [31]2 years ago
8 0

The solution of the given logarithmic equation is x = 28.1

<h3>How to solve the logarithmic equation?</h3>

Here we have the logarithmic equation:

4*ln(x - 8) = 12

And we want to solve this for x.

Remember the relations:

ln(e^x) = x\\e^{ln(x)} = x

First, we divide both sides by 4:

ln(x - 8) = 12/4 = 3

Then, if we apply the exponential equation to both sides of our equation, we get:

e^{ln(x - 8)} = e^{3}\\\\x - 8 = e^3\\\\x = e^3 + 8 = 28.1

If you want to learn more about logarithmic equations:

brainly.com/question/236421

#SPJ1

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A gardener is planting two types of trees:
Scrat [10]

It will take 4 years for these trees to be the same height

Step-by-step explanation:

A gardener is planting two types of trees:

Type A is 6 feet tall and grows at a rate of 12 inches per year

Type B is 2 feet tall and grows at a rate of 24 inches per year

We need to find exactly how many years it will take for these trees to be the same height

Assume that it will take x years for these trees to be the same height

Type A:

∵ The initial height of the tree is 6 feet

∵ 1 foot = 12 inches

∴ 6 feet = 6 × 12 = 72 inches

∴ The initial height of the tree is 72 inches

∵ It grows at a rate of 12 inches per year

∵ The number of years is x

∴ The height of the tree in x years = 72 + 12 x

Type B:

∵ The initial height of the tree is 2 feet

∴ 2 feet = 2 × 12 = 24 inches

∴ The initial height of the tree is 24 inches

∵ It grows at a rate of 24 inches per year

∵ The number of years is x

∴ The height of the tree in x years = 24 + 24 x

Equate The heights of the two types

∴ 72 + 12 x = 24 + 24 x

- Subtract 2 from both sides

∴ 48 + 12 x = 24 x

- Subtract 12 x from both sides

∴ 48 = 12 x

- Divide both sides by 12

∴ x = 4

It will take 4 years for these trees to be the same height

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

3 0
3 years ago
What are vertically opposite angles 
NeTakaya
When two lines cross, there are four angles at the place where they cross.
Two angles that do NOT share a side are vertical angles. There are two pairs
of vertical angles where the lines cross.

Also, by the way, vertical angles are always equal to each other.  It's often
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7 0
3 years ago
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1/2 x + 2 = 1/6 x - 1 =
aksik [14]

Step-by-step explanation:

1/2x+2−1/6x=1/6x−1−1/6x

1/3x+2=−1

1/3x+2−2=−1−2

1/3x=−3

3*(1/3x)=(3)*(−3)

x=−9 <- ANSWER

3 0
3 years ago
Write the equivalent fractions for 4/9 and 10/11 using the least common denominator
Tcecarenko [31]

Answer:

4/9 = 44/99

10/11 = 90/99

Step-by-step explanation:

44/99=90/99

6 0
3 years ago
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What is the equation for a line
USPshnik [31]

Answer:

y = mx + b

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y represents the dependent variable (value you are getting).

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x represents the independent variable (what you are changing).

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