1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Basile [38]
4 years ago
9

How would you solve this logarithm problem?

Mathematics
1 answer:
Tatiana [17]4 years ago
6 0

log_{2}(2x + 6)  -   log_{2}(x)  = 3 \\ \Leftrightarrow log_{2}(2x + 6) = log_{2}(x) + 3 \times 1 \\ \Leftrightarrow log_{2}(2x + 6) = log_{2}(x) + 3 log_{2}(2)  \\ \Leftrightarrow log_{2}(2x + 6)  = log_{2}(x) +  log_{2}(8)  \\ \Leftrightarrow log_{2}(2x + 6)  = log_{2}(8x)  \\ \Leftrightarrow 2x + 6 = 8x\Leftrightarrow 6x = 6\Leftrightarrow x = 1

You might be interested in
a certain forest covers an area of 4800km squared. if each year the area decreased by 6.75%what will be the area after 11 years
Sunny_sXe [5.5K]

<u>Answer-</u>

The area after 11 years will be 2225.28 km²

<u>Solution-</u>

This can be represented as exponential decreasing function,

y=a(1 - r)^t

Where,

  • a = starting amount
  • r = rate
  • t = years

Putting the values,

y=4800(1-0.0675)^{11}

\ =4800(0.9325)^{11}

\ =4800\times 0.4636

\ =2225.28

Therefore, at this rate the area of the forest after 11 years will be 2225.28 km².

5 0
3 years ago
Find the volume of a pyramid with a square base, where the side length of the base is
valina [46]

Answer:

Volume = 1114.1 in^3

Step-by-step explanation:

Recall that the formula for the volume of a pyramid is given by:

Volume=\frac{1}{3} \,B\,*\,H

where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).

Then the square base of the pyramid has an area given by: (12.8\,\,in)^2=163.84\,\,in^2

Finally,we can now write the volume of the pyramid as:

Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3

Rounding the answer to a tenth of a cubic inch, we get:

Volume = 1114.1 in^3

7 0
3 years ago
Okay...last time i ask. 4ths times a charm i suppose. please help. will mark brainliest. ill even write you a frickisagfbsdfn po
barxatty [35]

Ok, so when it says "3x, x\leq2," it means that when the x value is less than or equal to 3, you graph 3x. You would have the following points on the line: (-3,-9), (-2,-6), (-1,-3), (0,0), (1,3), and (2,6). The endpoint of the ray on the left side (the points I just said) would be (2,6)

When it says, "1/2 x +5, 2\leqx," it means that when the value of x is greater than or equal to 2, the y value is .5x + 5. You would graph the following points: (2,6), (4,7), (6,8), and (8,9). The endpoint of th ray on the right (the points I just said) would be (2,6).

Keep in mind that though the graph is continuous, it isn't one line, but 2 rays (which you probably already know).

6 0
3 years ago
Subtract seven more than twice a number from the square of one-third of the number to get zero.
viktelen [127]

Answer:

-13/-5

Step-by-step explanation:

5 0
3 years ago
1. If x = 2, calculate the value of: x cubed + x squared
Sav [38]
1. 2^2=4
Sqrt(2) ≈1.4

4+1.4=5.4

2. -2^2 = -4
Sqrt(-2) = -1.4 i -> 1

3. 3x + 2 = 14
3x=12
X= 4
5 0
3 years ago
Read 2 more answers
Other questions:
  • You travel 80 km in the first 1.00 hour of a trip, 50 km in the next 0.50 hours, and 40 km in the final 0.25 hours. Calculate yo
    11·1 answer
  • a balloon is at a height of 81 m and is ascending upwards with a velocity of 12m/s^2. a body of 2kg weight is dropped from it. i
    6·1 answer
  • the price of a notebook was $3.70 yesterday. today, the price fell to $3.45 . find the percentage decrease. round your answer to
    9·1 answer
  • 11/7 in a mixed fraction
    12·2 answers
  • A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the
    6·2 answers
  • Please help me I need help big time
    15·1 answer
  • A palindrome is a number or a word that is the same in the two directions: left to right and vice versa. Example of palindromes:
    9·1 answer
  • Find the amount owed at the end of 4 years if $3,000 is loaned at a rate of 7% compounded semiannually (twice a year).
    9·1 answer
  • Which table represents y as a function of x?
    5·1 answer
  • What is the value of the dot shown on the number line below? If the answer is not an integer, enter it as a fraction or mixed nu
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!