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3 years ago

8

Consider the equation below. log4 (x+3)=log2 (2+x). Which system of equations can represent the equation?

2 answers:

Verdich [7]3 years ago

4 0

Using: loga b = log b / log a
1) a=x+3, b=4 → y1=log4 (x+3) → y1= log (x+3) / log 4
2) a=2+x, b=2 →y2=log2 (2+x) → y2=log (2+x) / log 2

Answer:
y1=log (x+3) / log 4, y2= log (2+x) / log 2

klio [65]3 years ago

3 0

answer is attached below

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3 years ago

Find the distance from the point (4,2) to the point (0,1).

vagabundo [1.1K]

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Step-by-step explanation:

Data provided:

Coordinates of point 1 as ( 4 , 2)

and,

Coordinates of point 2 as ( 0 , 1 )

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3 years ago

What is the common ratio for the geometric sequence? 18,12,8,163,… Enter your answer in the box.

uysha [10]

Answer:

$\frac{2}{3}$ .

Step-by-step explanation:

We have been given a geometric sequence 18,12,8,16/3,.. We are asked to find the common ratio of given geometric sequence.

We can find common ratio of geometric sequence by dividing any number by its previous number in the sequence.

$\text{Common ratio of geometric sequence}=\frac{a_2}{a_1}$

Let us use two consecutive numbers of our sequence in above formula.

$a_2$ will be 12 and $a_1$ will be 18 for our given sequence.

$\text{Common ratio of geometric sequence}=\frac{12}{18}$

Dividing our numerator and denominator by 6 we will get,

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Let us use numbers 8 and 16/3 in above formula.

$\text{Common ratio of geometric sequence}=\frac{\frac{16}{3}}{8}$

$\text{Common ratio of geometric sequence}=\frac{16}{3*8}$

$\text{Common ratio of geometric sequence}=\frac{2}{3}$

Therefore, we get $\frac{2}{3}$ as common ratio of our given geometric sequence.

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