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Fittoniya [83]
3 years ago
7

Log3+logx-log(x+1)=log2

Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0

Answer:

  • x = 2

Step-by-step explanation:

These are the properties of logarithms that you have to use to solve the equation:

logA+logB=log (AB)\\ \\ logA-logB=log(\frac{A}{B} )

logA=logB⇒A=B

With that you can follow these steps and find the value of x:

log3+logx-log(x+1)=log2\\ \\\\ log\frac{3x}{x+1} =log2\\ \\ \\ \frac{3x}{x+1} =2\\ \\ \\ 3x=2(x+1)\\ \\ \\ 3x=2x+2\\ \\ \\ x=2

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I didn’t mean to put the 3 there, but please help!
Akimi4 [234]

Answer:

  1. m=y2-y1 / x2-x1
  2. m= 5-2 / 9-0
  3. 3/9 =1/3
  4. y=mx+b
  5. 2=1/3(0)+b
  6. 2=b
  7. slope is 1/3
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Step-by-step explanation:

8 0
3 years ago
Where does the line y=3x-5 cross the y axis?
makkiz [27]

Answer:

At (0, -5)

Step-by-step explanation:

The y-intercept (b) is -5 (<em>slope intercept form: y = mx + b</em>) the line will thus cross the y axis at the point (0, -5).

7 0
2 years ago
If q is the smallest composite number greater than 2 and p is the smallest prime number less than 10, what is p/q? a. 2 b. 0.5 c
Mrac [35]

Answer:

b. 0.5

Step-by-step explanation:

knowing that a prime number is an integer with exactly two divisors and a composite number is an integer with more than two divisors, we have that if q is a composite number greater than 2 these can be 4, 6, 8, .. But how the smallest of them should be is 4, and  p is a prime number can be 2,3,5,7,....

but  is the smallest prime number less than 10 then p=2, also p/q=2/4 = 0.5

6 0
3 years ago
Need help ASAP, I do not understand this one.
taurus [48]
2y+20=100
2y=80
y=40

The explanation for this would because because the two base angles of an isosceles triangle are equal so since the both equal to 40 degrees, in total would be 80 degrees.

Since the total degrees of a triangle is 180 and you know the base angles make up for 80 percent you subtract that from the total of the angle your trying to find, which is 2y+20.
6 0
3 years ago
Read 2 more answers
What is the meaning of the unknown factor and quotient
Komok [63]
I don't know what you mean by unknown factor but a quotient is the answer of a division problem
7 0
3 years ago
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