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
Fynjy0 [20]
3 years ago
11

How do you solve this

Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

Answer:

  • domain: all terms are defined for <em>all real numbers</em>
  • solution: x = 6

Step-by-step explanation:

Rewrite the equation as a single exponential. After taking the log, the solution becomes obvious.

5^{x-2}-7^{x-3}=7^{x-5}+11\cdot 5^{x-4}\\\\5^{x-2}-11\cdot 5^{x-4}=7^{x-3}+7^{x-5}\\\\5^{x-2}(1-11\cdot 5^{-2})=7^{x-3}(1+7^{-2})\\\\5^{x-2}\dfrac{14}{25}=7^{x-3}\dfrac{50}{49}\\\\1=\dfrac{2\cdot 7^{x-3}5^4}{2\cdot 5^{x-2}7^3}=\left(\dfrac{7}{5}\right)^{x-6}\\\\0=(x-6)\log(1.4)\\\\x=6

You might be interested in
Answer this for me please!!
Black_prince [1.1K]

Answer:

1,520,000 liters of water

Step-by-step explanation:

4x10^4= 40000. 38x40000=1,520,000

1.52x10^6

7 0
3 years ago
If the perimeter of Triangle XYZ is 56 cm, what is the perimeter of Triangle ABC?
Troyanec [42]

Answer:

28 cm

Step-by-step explanation:

Triangle ABC is obtained by joining the mid points of the sides of triangle XYZ.

So, perimeter of triangle ABC will be equal to half of the perimeter of triangle XYZ.

P(\triangle ABC) = \frac{1}{2} \times P(\triangle XYZ)

P(\triangle ABC) = \frac{1}{2} \times 56

P(\triangle ABC) = 28\: cm

6 0
2 years ago
Sandy is working with a carpenter to frame a house. They are using 8 foot long boards but each board must be cut to be 7 feet, 1
quester [9]
The answer is 5/4 in

The initial length:
1 ft = 12 in
8 ft = 8 * 12 in
      = 96 in

The final length:
7 ft 10 3/4 in = 7 ft + 10 in + 3/4 in
                     = 7 * 12 in + 10 in + 3/4 in
                     = 84 in + 10 in + 3/4 in
                     = 94 in + 3/4 in

The cut if the initial length - final length:
96 in - 94 in - 3/4 in = 2 in - 3/4 in = 8/4 in - 3/4 in = 5/4 in
7 0
3 years ago
Please help with these 3 questions
Sever21 [200]

Answer: x = 11

Step-by-step explanation:

2x+5 = 3x-6

2x-3x = -6-5

-x = -11

x = 11

Double-check:
11*2= 22                   11*3=33

22+5 = 27                33-6= 27

4 0
2 years ago
I need the answer to the problem
inysia [295]
In the first one put 2. and in the second one put 7 
3 0
3 years ago
Other questions:
  • Factor 10n2 + 17n + 6
    9·1 answer
  • 4/5 &gt;-2/3d helpppppppppppppppppppp
    6·1 answer
  • Is someone can help me please please i will give 20 points please
    11·1 answer
  • Write 29/5 as a mixed number
    9·1 answer
  • Two boys who live 14 miles apart start at noon to walk toward each other at rates of 3 mph and 4 mph respectively. In how many h
    6·2 answers
  • What is the exact distance from (_1, 4) to (6, _2)?
    7·2 answers
  • 35% of 20 is what number?
    15·2 answers
  • Find the product<br> 5/8 of 24<br> A. 8<br> B.15<br> C.11<br> D.9
    9·2 answers
  • A photo of an ant in a science book is increased to 618% as large as the actual size. If the ant is 15 millimeter, what is the s
    13·1 answer
  • (X + 4) + ( x + 4 ) + x + x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!