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Sphinxa [80]
3 years ago
7

It would be great if you could help me solve the circled question. It's regarding logarithms.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Answer:

x=1/8

Step-by-step explanation:

  1. 2²x-7×2x+6=0,4x-7×2x+6=0,4x×2x=0+7-6,8x=1,8x/8=1/8,8 will cancel 8 and x will stand alone so x=1/8
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I'm 14 too! :))

Step-by-step explanation:

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3 years ago
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What is the integral ln x^1/3 dx.
Maksim231197 [3]
Hello,

\int\limits{ln(x^\frac{1}{3}) } \, dx =\frac{1}{3}*\int\limits{ln(x) } \, dx \\\\
=\frac{1}{3}*(x*ln(x)-x)+C=\frac{x}{3}*(ln(x)-1)+C



Th\int\limits{ln(x) } \, dx=x*ln(x)- \int\limits{x* \frac{1}{x}   \, dx \\\\
=x*ln(x) -x+C

The last integration is made by "parties(in french)"

\int\limits{ln(x)} \, dx =x*ln(x)- \int\limits{x* \frac{1}{x} } \, dx \\\\
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6 0
3 years ago
I tried to do this problem but got stuck can someone please help???
denis23 [38]

Answer: x = 6

Step-by-step explanation:

4 0
4 years ago
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Suppose that Professor Rodgers needs one small group of students from his class to participate in a focus group. There are 11 st
irinina [24]

Answer:

(A) 165

(B) 330

Step-by-step explanation:

Total number of students in the class = 11

(A) How many different combinations of 3 selected students can he create?

ⁿCₓ = n! ÷ [(n - x)! x!]

n = 11,  x = 3

11! / [8! 3!]  = 165

<em>HINT:  8! or 8 factorial represents [8x7x6x5x4x3x2x1]</em>

(B) How many different combinations of 4 selected students can he create?

ⁿCₓ = n! ÷ [(n - x)! x!]

n = 11,  x = 4

11! / [7! 4!]  = 330

<em>Same hint applies here, for all numbers with the factorial sign.</em>

4 0
3 years ago
If P(A)=.55, P(B)=.32 And P(AuB)=.70,
son4ous [18]

Answer:

A. 0.5313

B. 0.15

Step-by-step explanation:

Given:

P(A)=0.55\\ \\P(B)=0.32\\ \\P(A\cup B)=0.70

First , use formula

P(A\cup B)=P(A)+P(B)-P(A\cap B)

to find P(A\cap B):

0.70=0.55+0.32-P(A\cap B)\\ \\P(A\cap B)=0.55+0.32-0.70=0.87-0.70=0.17

A. Use formula

P(A|B)=\dfrac{P(A\cap B)}{P(B)}\\ \\P(A|B)=\dfrac{0.17}{0.32}=\dfrac{17}{32}=0.53125\approx 0.5313

B. Use formula

P(A'|B)=P(B)-P(A\cap B)=0.32-0.17=0.15

4 0
3 years ago
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