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
statuscvo [17]
3 years ago
15

Solve the linear equation

frac%7B3%7D%7B4%7D%29%5E%7Bx-7%7D" id="TexFormula1" title="(\frac{16}{9})^{-2x+5} = (\frac{3}{4})^{x-7}" alt="(\frac{16}{9})^{-2x+5} = (\frac{3}{4})^{x-7}" align="absmiddle" class="latex-formula">

Mathematics
2 answers:
Oxana [17]3 years ago
8 0

Graph both equations and find the X value when the lines cross.

See attached picture of the graph

X = 1

Or you could take logarithms of both sides where log(a^b) = b loga to also find the value of x.

Katen [24]3 years ago
7 0

Answer:

x = 1

Step-by-step explanation:

Given in the question,

(16/9)^{-2x+5} = (3/4)^{(x-7)}

Take logarithm on both sides

ln(16/9)^{-2x+5} = ln(3/4)^{(x-7)}

Apply power rule of logarithm

(-2x+5)ln(16/9) = (x-7)ln(3/4)

cross multiply

(-2x+5)/(x-7) = \frac{ln(3/4)}{ln(16/9)}

-1/2 = (-2x+5)/(x-7)

-(x-7) = 2(-2x+5)

-x + 7 = -4x + 10

rearrange the terms, x terms to left and constant to right

-x + 4x = 10 - 7

3x = 3

x = 1

You might be interested in
Hurry and graph this please
lutik1710 [3]
Function 1
Domain- all real numbers
Root: (3,0)
Range: all real numbers
Vertical intercept: (0,6)

Function 2
Root: (8,0)
Range: all real numbers
Vertical intercept: (0,6)
Domain: all real numbers

Solution:(4,-2)
(X,y)
4 0
2 years ago
Write a recursive rule for the sequence –17.-11, -5, 1, ...<br>show complete working format please ​
kogti [31]

Answer:

a_{n} = a_{n-1} + 6

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

- 11 - (- 17) = - 5 - (- 11) = 1 - (- 5) = 6

A recursive rule allows a term to be found by adding d to the previous term, thus

a_{n} = a_{n-1} + 6 with a₁ = - 17

3 0
3 years ago
Which of these is equivalent to the given angle?
Inga [223]

360 \°=2\pi  \\\\\dfrac{7\pi }{4} = \dfrac{\frac{7\not\pi }{\not4} \cdot \not360 \° ^{90 \° }}{2\not\pi } =\dfrac{7\cdot \not90\° ^{45\°}}{\not2} =7\cdot45\°=315\° \\\\Answer \ D.

7 0
3 years ago
Brad wants to buy flowers for his friend with $45. the daisies are $1 each and the roses are $2. he buys 3 more daises than rose
inysia [295]
Roses cost 26 dollars i believe 
8 0
3 years ago
Read 2 more answers
Does the point (4, 0) satisfy the equation y = x2?
andre [41]
Y=x^2
substitute the values into the original equation
0=4^2
0=16
No it does not satisfy the equation because 0 does not equal to 16
8 0
3 years ago
Other questions:
  • Q: If 3x-6&lt;12, then x could be?<br><br> Answer choices:<br> A:5<br> B:7<br> C:9<br> D:12
    14·2 answers
  • Two angles are supplementary. if the larger angle is 3 degrees more than twice the smaller angle then how big is each angle. wri
    12·1 answer
  • A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets
    10·2 answers
  • Each case of cookies at a baking company has 27 boxes. Each box contains 9 cookies How many cookies are in each case?
    6·1 answer
  • ¿Qué hora es? Si el cuadrado de la mitad del
    11·1 answer
  • The coldest temperature ever recorded on Earth is 135.8°F below 0, recorded
    7·1 answer
  • . Find the volume of the building below.54 ft 40 ft 50 ft 30 ft 75 ft 82
    9·1 answer
  • Kyle bought a ticket to see his favorite basketball team playing at home. His seat is in the terrace section, about 178 feet fro
    6·1 answer
  • Which of the following represents the factorization of the trinomial below?<br> x^2- X-20
    11·1 answer
  • HELP PLEASE!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!