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
Nastasia [14]
3 years ago
10

How to solve this equation?

Mathematics
2 answers:
bezimeni [28]3 years ago
8 0
\bf log_2(x-2)-log_2(5)=1\\\\
-----------------------------\\\\
log_{{  a}}\left(  \frac{x}{y}\right)\implies log_{{  a}}(x)-log_{{  a}}(y)\qquad thus\\\\
-----------------------------\\\\
log_2\left( \cfrac{x-2}{5} \right)=1\\\\
-----------------------------\\\\
{{  a}}^{log_{{  a}}x}=x\impliedby \textit{log cancellation rule}\\\\
-----------------------------\\\\
2^{\cfrac{}{}log_2\left( \frac{x-2}{5} \right)}=2^1\implies \cfrac{x-2}{5}=2^1
\\\\\\
\cfrac{x-2}{5}=2\implies x-2=10\implies x=12
lilavasa [31]3 years ago
7 0
I solved it on your other posting of it. x = 12
All of the steps are there
You might be interested in
Easy algebra question below first correct answer gets brainliest
kirill [66]

Given:

The right angle triangle with legs 4 units and 7 units.

To find:

The length of hypotenuse.

Solution:

Pythagoras theorem: In a right angle triangle,

Hypotenuse^2=Base^2+Perpendicular^2

Let x be the length of the hypotenuse.

Using the Pythagoras theorem for the given triangle, we get

x^2=4^2+7^2

x^2=16+49

x^2=65

Taking square root on both sides, we get

x=\sqrt{65}                [∵Side length cannot be  negative]

x\approx 8.06

Therefore, the length of the missing side for the given right angle triangle is 8.06 units.

3 0
3 years ago
Pls help me answer this
igor_vitrenko [27]

Answer: 30 cm

Step-by-step explanation:

The volume of the composite solid is 17000 cm³. To find h, we must first subtract the volume of the half cylinder from the composite volume.

From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus \frac{1}{2} the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of  \frac{1}{2} (\frac{22}{7})(10 cm)^2(28 cm) = 4400 cm^3.

Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.

The ABKJ is a trapezoid so it's area is \frac{1}{2}(AJ + BK) \cdot AB. Thus the volume of the right prism is \frac{1}{2}(AJ + BK) \cdot AB \cdot AE. This gives us \frac{1}{2}(28 + 14) \cdot h \cdot 20 = 12600, and thus h = 30 cm.

3 0
2 years ago
What is the value of x if the average of 10, 11, 12 and x is 9?
frosja888 [35]

Answer: The value of x is 3.

Step-by-step explanation:

Since we have given that

10,11, 12 and x

Average of above numbers = 9

As we know that

Average is given by

\dfrac{\text{Sum of observation}}{\text{Number of observation}}\\\\\\\dfrac{10+11+12+x}{4}=9\\\\10+11+12+x=9\times 4\\\\33+x=36\\\\x=36-33\\\\x=3

Hence, the value of x is 3.

6 0
3 years ago
How do you find the percent of a number
natulia [17]
You set up a proportion. first, put the percent so if it's 30 percent, it would be 30 over 100. Then, set up the second part. is over of. 
3 0
3 years ago
Read 2 more answers
I have 1,000 chickens i take 749 away how much would there be left (trick question?)
mylen [45]

Answer:

69

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Quotient of 845 divided by 27
    14·2 answers
  • 15 points!!!!:
    7·2 answers
  • A local middle school recently reported that enrollment increased to 108% percent of last year. If enrollment last year was at 1
    13·1 answer
  • There are 25 servings in a 12.5-ounce bottle of olive oil. How many ounces are in 1 serving
    12·1 answer
  • 3c = 18 do I multiply 3 by 6
    7·2 answers
  • What is the surface area of the cylinder in terms of pi <br> Radius 8in <br> Height 20in
    5·1 answer
  • Calculate the gradient of the line 2y =8x+4
    9·2 answers
  • Will give brainlessst if you answer plsssss
    14·1 answer
  • Maria and her friends eat pizza for lunch.
    5·1 answer
  • A cylindrical tin has a radius of 3 cm. What is the shortes length of a string that can be wound once round the curved surface o
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!