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s2008m [1.1K]
4 years ago
12

Solving Exponential and Logarithmic Equations In Exercise, solve for x. In 2x - In(3x - 1) = 0

Mathematics
1 answer:
LenKa [72]4 years ago
7 0

Answer:

\frac{-1}{3x^2-x}

Step-by-step explanation:

  1. If f(x) is in th form of f(x)=g(x)-h(x) then f'(x)=g'(x) - h'(x)
  2. When f(x)=z(g(x)) then f'(x)= z'(g(x))g'(x) (called as chain rule)

<u>using these information</u>:

g(x)=ln2x then g'(x)=\frac{(2x)'}{2x} =\frac{2}{2x}=\frac{1}{x}

h(x)=In(3x - 1) then h'(x)=\frac{(3x-1)'}{3x-1} =\frac{3}{3x-1}f'(x)=g'(x) - h'(x) =[tex]\frac{1}{x} - \frac{3}{3x-1} =\frac{-1}{3x^2-x}

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A soccer team has 11 players on the field. Of those players, 2 are forwards, 4 are midfielders, 4 are defenders, and 1 is a goal
Murrr4er [49]

Answer:

4/11

Step-by-step explanation:

There are 4 midfielders on the team out of 11.

3 0
4 years ago
What is the best approximation of the volume of the right cone?
zalisa [80]
Formula:

V = 1/3 * pi * r^2 * h

Plug in what we know:

V = 1/3 * 3.14 * 3^2 * 4

V = 37.68cm^3

So the volume is 37.68cm^3 which rounds to 37.7cm^3.
5 0
3 years ago
Read 2 more answers
2.5 Discuss FIVE important steps relating to career decision making​
Ugo [173]

Answer:

well according to me steps relating to decision making one of them can be what you like doing like a hobby another one can be how it's going to benefit you and the people around you that's all I know sorry if

6 0
3 years ago
A rectangular paperboard measuring 29in long and 20in wide has a semicircle cut out of it, as shown below.
katen-ka-za [31]

Here, we are required to find the area of the paper board given after the semicircle is cut out of it

Area of the paper board thatremains is 423 in²

Length = 29 in

Width = 20 in

Area of a rectangle = length × width

= 29 in × 20 in

= 580 in²

Area of a semi circle = πr²/2

π = 3.14

r = diameter / 2 = 20 in / 2 = 10 in

Area of a semi circle = πr²/2

= 3.14 × (10 in)² / 2

= 3.14 × 100 in² / 2

= 314 in²/2

= 157 in²

The semicircle is cut out of the rectangle

Find the area of the paper board that remains after the semicircle is cut out of it by subtracting the area of a semi circle from the area of a rectangle

Area of the paper board that remains = Area of a rectangle - Area of a semi circle

= 580 in² - 157 in²

= 423 in²

brainly.com/question/16994941

6 0
3 years ago
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Firlakuza [10]

Answer: C) Today's soup will taste the same

====================================================

Explanation:

The usual recipe has 9 tomatoes for every 12 bowls. This forms the ratio 9:12.

Divide both parts of the ratio by 12 to end up with 0.75:1

  • 9/12 = 0.75
  • 12/12 = 1

The ratio 0.75:1 means that there are 0.75 tomatoes for each bowl.

--------------

Then the restaurant updates the recipe to involve 6 tomatoes for every 8 bowls, leading to the ratio 6:8. Divide both parts by 8

  • 6/8 = 0.75
  • 8/8 = 1

The ratio 6:8 is the same as 0.75:1

---------------

We get the same ratio (0.75:1) each time we turn that second number into a 1, which means that each bowl involves the same number of tomatoes. Therefore, the taste should be the same.

Of course the concept of taste is subjective, meaning that the taste could easily vary over time even if you involved the same number of tomatoes. Also, the taste may vary from person to person. However, there should be an objective way to measure the "tomato"ness of each bowl.

4 0
3 years ago
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