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3 years ago

Find the solution of the exponential equation, correct to four decimal places. 23x+1 = 3x-2

Mathematics

1 answer:

Lostsunrise [7]3 years ago

5 0

Answer:

Step-by-step explanation:

23x + 1 = 3x - 2

23x - 3x +1 = -2

20x + 1 = -2

20x = -2 - 1

20x = -3

x = -3/20

x = -0.15

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Luden [163]

Answer:

$x=-3$

Step-by-step explanation:

Given equation:

$\dfrac{2x}{x+1}+\dfrac{3(x+1)}{x}=5$

Make the denominators the same:

$\implies \dfrac{2x}{x+1} \cdot\dfrac{x}{x}+\dfrac{3(x+1)}{x} \cdot \dfrac{x+1}{x+1}=5$

$\implies \dfrac{2x^2}{x(x+1)}+\dfrac{3(x+1)^2}{x(x+1)} =5$

Combine the fractions:

$\implies \dfrac{2x^2+3(x+1)^2}{x(x+1)} =5$

Multiply both sides by x(x+1):

$\implies 2x^2+3(x+1)^2 =5x(x+1)$

Expand the brackets:

$\implies 2x^2+3(x^2+2x+1) =5x^2+5x$

$\implies 2x^2+3x^2+6x+3 =5x^2+5x$

Combine like terms:

$\implies 5x^2+6x+3=5x^2+5x$

Subtract 5x² from both sides:

$\implies 6x+3=5x$

Subtract 5x from both sides:

$\implies x+3=0$

Subtract 3 from both sides:

$\implies x=-3$

Learn more about algebraic fractions here:

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5 0

2 years ago

Which expression is equivalent to (2^3)^-5 a. 1/2^15 b. 1/2^8 c. 2^8 d.2^15?

koban [17]

(2^3)^-5 = 2^(3 x -5) = 2^-15 = 1/2^15

4 0

4 years ago

Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books

laila [671]

Let, the number of books on Monday = m
On Tuesday = 2m
On Wednesday = 2m - 6

Equation: m + 2m + (2m - 6) = 19
You can solve it:
5m = 19 + 6
m = 25/5
m = 5

In short, He sold 5 books on Monday

Hope this helps!

7 0

4 years ago

Please what’s the answer will give brainliest

algol [13]

Answer:

8.66 cm

Step-by-step explanation:

From the diagram :

The vase of the triangle = 9.9cm - 4.9 cm = 5cm

Hence, using Pythagoras rule :

Opposite = √hypotenus² - Adjacent²

Opposite = √10²-5²

Opposite = √100 -25

Opposite= √75

= 8.66 cm

5 0

4 years ago

Help me pls thank you sooooo much

Lubov Fominskaja [6]

Answer: Length: 24

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers