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iris [78.8K]
3 years ago
14

What is the solution to the equation e³x=12 Round your answer to the nearest hundredth.

Mathematics
1 answer:
patriot [66]3 years ago
4 0

The equation is:

[e^x] [e^(2x)] = 4

1) Applying property of multiplication of powers wiith same base =>

e ^ (x + 2x) = 4

=> e ^ (3x) = 4

2) Applying logarigth properties

3x = ln(4)

=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621

Answer: x = ln(4) / 3 ≈ 0.4621



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What happens to the Law of Cosines if the known angle is 90 degrees?
poizon [28]

Answer:

See below.

Step-by-step explanation:

It transforms  to the Pythagoras theorem.

c^2  = a^2 + b^2 - 2ab cos C

If C = 90,  cos C = zero so the last term disappears.

c^2  = a^2 + b^2 - 2ab * 0

c^2 = a^2 + b^2.

8 0
3 years ago
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times
Nadusha1986 [10]

The quotient of the expressions (9.6 x 10⁻⁸) and (3.2 x 10⁴) is 3.0 × 10⁻¹². Then the correct option is D.

<h3>What is division?</h3>

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are given below.

(9.6 x 10⁻⁸) and (3.2 x 10⁴)

Then the quotient of the expressions will be

⇒ (9.6 x 10⁻⁸) / (3.2 x 10⁴)

⇒ (3 x 10⁻⁸) / (10⁴)

⇒ 3 x 10⁻⁸ x 10⁻⁴

⇒ 3 x 10⁻⁸⁻⁴

⇒ 3 x 10⁻¹²

Then the correct option is D.

More about the division link is given below.

brainly.com/question/369266

#SPJ1

3 0
2 years ago
what is another way to change 4/5 *35=28? what is 28/ 4/5? what is 5 / 3/5?what is 35 / 4/5? And will brainly
geniusboy [140]
On my test the answer is A
3 0
3 years ago
16x - 3 = 12x + 13<br> Kkjjkkkkjhjhn
Leokris [45]

Answer:

X = 4

Step-by-step explanation:

16x -3 = 12x+13

16x-12x=13+3

4x= 16

x = 16/4

x=4

3 0
3 years ago
Your height is 5 feet and 1 5/8 inches, Your friend's height is 5.6 feet. who is taller explain.
Luda [366]
\frac{5}{8}=0.625

You are 5.625 inches.

5.625 > 5.6

You are taller.
6 0
3 years ago
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