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ratelena [41]
3 years ago
11

Solving Exponential and Logarithmic Equations In Exercise, solve for x. In x = 3

Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer:

The solution is:

x = e^{3} = 20.09

Step-by-step explanation:

The first step to solve this equation is placing everything with the logarithmicto one side of the equality, and everything without the exponential to the other side. So

\ln{x} = 3

It already is in the desired format.

Now, we have that, since e and ln are inverse operations

e^{\ln{a}} = a

So, we apply the exponential to both sides of the equality

e^{\ln{x}} = e^{3}

x = e^{3} = 20.09

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Answer:

(0, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y + 5x = 1

5y - x = 5

<u>Step 2: Rewrite Systems</u>

y + 5x = 1

  1. Subtract 5x on both sides:                    y = 1 - 5x

<u>Step 3: Redefine Systems</u>

y = 1 - 5x

5y - x = 5

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitution in <em>y</em>:                      5(1 - 5x) - x = 5
  2. Distribute 5:                             5 - 25x - x = 5
  3. Combine like terms:                5 - 26x = 5
  4. Isolate <em>x</em> term:                          -26x = 0
  5. Isolate <em>x</em>:                                   x = 0

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    5y - x = 5
  2. Substitute in <em>x</em>:                       5y - 0 = 5
  3. Subtract:                                 5y = 5
  4. Isolate <em>y</em>:                                 y = 1
8 0
2 years ago
A stunt man wants to drive a car off a ramp at an angle of 35∘ from the ground. He already has a ramp with an angle of 15∘. He p
eduard

Answer:

The second ramp needs to have 25°.

Step-by-step explanation:

Required ramp angle for driving the car from the ground = 35°.

First ramp angle = 15°

Therefore, second ramp angle equals required ramp angle minus first ramp angle, which is = 35° - 15° = 20°

The 20° ramp angle will make the total ramp angle to be equal to 35°.

That is 15° + 20° = 35°

4 0
3 years ago
A total of 332 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t
Gala2k [10]
ANSWER- 83


Total : s+a = 322

Student tickets : s = 3a

Adult tickets : a = 332 - s
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Use your knowledge of isosceles and equilateral triangle‘s to find the requested information.
djverab [1.8K]

Answer:

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Step-by-step explanation:

6y=8y-16

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2 years ago
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