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
serious [3.7K]
2 years ago
11

Solve the exponential equation by the method of relating the​ bases, first rewriting the equation in the form

Mathematics
1 answer:
Nookie1986 [14]2 years ago
6 0

Answer:

  x = 1/3

Step-by-step explanation:

Both bases can be written as powers of 6.

  36^x = (1/6)^(x-1) . . . . . . given

  (6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6

  6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents

  2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base

  3x = 1 . . . . . . . add x

  x = 1/3 . . . . . divide by 3

You might be interested in
∠LMN and ∠NMO are a linear pair of angles. If ∠LMN = 4x + 3 and ∠NMO = 10x – 5, then find the value of x. (1 point)
andriy [413]
Linear angles are two angles that are part of a straight angle (180*), so both must add up to 180.   If 4x+3+10x-5+180, then 14x-2=180, then 14x=182, and x=13
8 0
3 years ago
Read 2 more answers
What is the equation of the line of reflection that maps
Gennadij [26K]
Reflecting over the y-axis
6 0
3 years ago
Please help me i really need help please help please
solong [7]

Answer:

3.605 ft is the answer.

Step-by-step explanation:

Applying Pythagoras theorem,

a^2 + b^2 = c^2

2^2 + 3^2 = c^2

4 + 9 = c^2

13 = c^2

3.605 = c

therefore, the answer is 3.605.

:)

8 0
3 years ago
When sending a rectangular package through the U.S. Postal Service, the combined length and girth (perimeter of the cross sectio
weqwewe [10]
Let W = width of package
Let H = height of package
Let L = length of package

The perimeter cab be one of the following:
P = 2(L + W),  or
P = 2(L + H)

The perimeter of the cross section cannot exceed 108 in.
When the width is 10 in, then
 2(L + 10) <= 108
 L + 10 <= 54
 L <= 44 in

When the height is 15 in, then
2(L + 15) <= 108
L + 15 <= 54
L <= 39 in

To satisfy both of these conditions requires that L <= 39 in.

Answer: 39 inches
5 0
3 years ago
Can an exterior angle of a triangle ever be congruent to one of its remote interior angles?
Inga [223]
I do not believe so, no. theres interior angles and exterior angles. hope that helps!
5 0
3 years ago
Other questions:
  • In the early months of some year one site added 0.2 million new accounts everyday. At this rate, how many days would be needed t
    5·1 answer
  • In the diagram below, what needs to be labeled in order to prove triangle AHL and triangle EML are congruent by the SSS postulat
    15·1 answer
  • What is 12/99 as a decimal?
    14·2 answers
  • Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the
    5·2 answers
  • Victoria knit a total of 18 centimeters of scarf over 3 nights. How many nights will victoria have to spend knitting in order to
    7·1 answer
  • If a/b and c/d are rational expressions, then a/b•c/d=a•c/b•d <br><br> true or false?
    10·1 answer
  • A jar contains 0.25 liter of apple juice and 0.30 liter of grape juice. Melissa poured 0.75 liters of pineapple juice into the j
    11·2 answers
  • What is the sum of | 12 | and | 9 |?​
    10·2 answers
  • the temperature of an enclosure for a pet snake should be about 80f, give or take 5. find the maximum and minimum temperatures
    9·1 answer
  • Activity
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!