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bagirrra123 [75]
3 years ago
13

Solve for equation x. 3In(x)+2In(4)=In(128)

Mathematics
1 answer:
Serggg [28]3 years ago
3 0

Domain:\ x > 0\\\\3\ln(x)+2\ln(4)=\ln(128)\qquad\text{use}\ \lag_ab^n=n\log_ab\\\\\ln(x^3)+\ln(4^2)=\ln(128)\qquad\text{use}\ \log_ab+\ln_ac=\ln_a(bc)\\\\\ln(16x^3)=\ln(128)\iff16x^3=128\qquad\text{divide both sides by 16}\\\\x^3=8\to x=\sqrt[3]8\\\\\boxed{x=2}\in D

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What are the answer and how do i solve it
Shkiper50 [21]
I'll answer 3 of these questions. 
For future notice, make sure to limit yourself to asking at most, 3 individual questions per question. :)

1) r/10+4=5
Subtract both sides by 4.
(r/10+4)-4=(5)-4
r/10=1
Multiply both sides by 10.
(r/10)*10=(1)*10
r=10

2) n/2+5=3
Subtract 5 from both sides.
(n/2+5)-5=(3)-5
n/2=-2
Multiply both sides by 2.
(n/2)*2=(-2)*2
n=-4

3) 3p-2=-29
Add 2 to both sides.
(3p-2)+2=(-29)+2
3p=-27
Divide both sides by 3.
(3p)/3=(-27)/3
p=-9

Hope this helps.
-Benjamin


4 0
4 years ago
Which statement is false?
kondaur [170]

iI think that c because it is inside the integers are inside the rationals

3 0
3 years ago
The population of a town y years after 1970 is 32,070 + 1,524y.
Shalnov [3]

Answer:

A

Step-by-step explanation:

1524y: this is your slope.

Notice it is positive. Thismust mean that your population can only increase. Therefore, C and D are wrong. Now what is increasing? 1524 each year.

8 0
3 years ago
Read 2 more answers
Someone pls help me ! i rlly need help
DerKrebs [107]

Answer:

Option D is the correct answer.

Step-by-step explanation:

Coefficients od dividend = (4, - 17, - 15)

Dividend =4x^2 - 17x - 15

Divisor x = 5 =>x-5= 0

Coefficients of Quotient = (4, 3)

Quotient =4x + 3

Remainder = 0

Since,

Dividend = Divisor \times quotient + Remainder\\\therefore 4x^2 - 17x - 15 = (x - 5)\times (4x + 3) +0 \\\therefore 4x^2 - 17x - 15 = (x - 5)\times (4x + 3) \\\therefore( 4x^2 - 17x - 15) \div (x - 5) = (4x + 3)

8 0
3 years ago
Researchers have claimed that the average number of headaches per student during a semester of Statistics is 11. In a sample of
SSSSS [86.1K]

Answer:

A) H0: μ = 11 vs. Ha: μ > 11

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

Therefore, for the case above;

The null hypothesis is that the average number of headaches per student during a semester of Statistics is 11.

H0: μ = 11

The alternative hypothesis is that the average number of headaches per student during a semester of Statistics is greater than 11.

Ha: μ > 11

4 0
4 years ago
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