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
OLga [1]
3 years ago
14

Solve 64^x = 16^(x−1). (1 point) Select one: a. x = −2 b. x = −1 c. x = negative 1 over 4 d. x = negative 1 over 3

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

Answer:

\huge \boxed{x=-2}

Step-by-step explanation:

64^x = 16^(x-1)

Rewrite the bases with base of 4.

(4^3)^x = (4^2)^(x-1)

Multiply exponents.

4^(3x) = 4^(2(x-1))

Cancel same bases.

3x = 2(x-1)

Expand brackets.

3x = 2x - 2

Subtract 2x from both sides.

x = -2

LekaFEV [45]3 years ago
6 0

Answer:

a. x = -2

Step-by-step explanation:

64ˣ = 16⁽ˣ⁻¹)

64 = 4³

16 = 4²

4³⁽ˣ⁾ = 4²⁽ˣ⁻¹)

4³ˣ = 4²ˣ⁻²

3x = 2x - 2

x = -2

You might be interested in
What is the solution to
Anarel [89]

All my work is shown in the image.


4 0
3 years ago
Read 2 more answers
If I have 200,000,000,000 pounds how many tons is that
GaryK [48]
1 ton= 2,000 ponds. Thus 200,000,000,000 divided by 2,000 is 100,000,000
3 0
3 years ago
Find the exact values of the remaining trigonometric functions of θ satisfying the given conditions. (if an answer is undefined,
natita [175]
The answer is undefined.
8 0
3 years ago
PLEASE HELP!! asap!!
spin [16.1K]

Answer:

The third one from left to right

Step-by-step explanation:

Just check that when x = 11

y= -\sqrt[3]{11-3}+4=-2+4=2

So the graph passes through the point (11,2)

7 0
3 years ago
Read 2 more answers
Deepa has 57. She has 4 times as much money as Gaurav. How much
Readme [11.4K]

Answer:

42.75 dollars more

Step-by-step explanation:

57/4= 14.25

Gaurav has 14.25 dollars

57-14.25=42.75

therefore Deepa has 42.75 more dollars than Gaurav

6 0
3 years ago
Other questions:
  • For Halloween, Gina received candies from her neighbor, aunt, and uncle. Her aunt gave four times as many candies as her uncle.
    9·1 answer
  • Which expression is equivalent to (4∧5/4 x 4∧1/4 / 4∧1/2)∧1/2
    6·1 answer
  • The base of a parallelogram is 3 times the parallelogram's height.
    14·2 answers
  • Last points! :( math!!
    7·1 answer
  • Can anyone pls help.
    11·1 answer
  • What is the overlap of data set 1 and data set 2 <br> A. High <br> B.moderate <br> C.low<br> D.none
    11·1 answer
  • -14 = 7x + 6<br> can someone help out please
    11·2 answers
  • Whats the slope and y intercept of y-2x=5
    9·1 answer
  • Select all the expressions that are equivalent to 3x – 1.
    9·1 answer
  • Find the average rate of change of the quadratic function <img src="https://tex.z-dn.net/?f=f%28x%29" id="TexFormula1" title="f(
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!