How to solve the exponential equation for 3^k2 • 3^-k+2 = 81

Mathematics

1 answer:

wariber [46]3 years ago

6 0

Answer:

k=2

Step-by-step explanation:

3^k*2 * 3^-k+2 = 81

Factor out 81 to be : 3^4

Rewrite the equation:

k*2 - k+2 = 4

k^2 - 2k = 4

Simplify : k+2 = 4

- 2 - 2

k = 2

You might be interested in

Find the center and radius of (x + 0.2)2 + (y + 0.1)2 = 0.3 (with an explanation please)

pshichka [43]

Hope this helps you!

8 0

2 years ago

How to find height of a triangular prism where length is 9, width is 3.5, and height is unknown. Volume is 50.4, and explain ans

riadik2000 [5.3K]

*The width in your question - I assumed it is refers to the height of the triangle base.

Volume of a triangle prism = base area x height

The base is a triangle:
Volume of a triangle prism = (1/2 x base x height₁) x height₂

Plug in the values and solve for height₂:

50.4 = (1/2 x 9 x 3.5) x height

50.4 = 15.75 x height

height = 50.4 ÷ 15.75

height = 3.2 units

-----------------------------------------
Answer: Height = 3.2 units
-----------------------------------------

5 0

3 years ago

2. Find the slope of the line graphed below! Remember Rise Run 10

Ivenika [448]

Answer:

-1/3

Step-by-step explanation:

4 0

3 years ago

An office building loses a third of its heat between sundown and midnight and an additional half of the original amount of heat

Mekhanik [1.2K]

Answer: