All categories

3 years ago

8^x+3=16^x−1 solve the exponential equation ...?

1 answer:

6 0

Let us write down the equation clearly and in a proper manner. This will help in solving the equation very easily.

8^(x + 3) = 16^(x - 1)
(2^3)^(x + 3) = (2^4)^(x - 1)
(2)^3(x + 3) = (2)^4(x - 1)
Then
3(x + 3) = 4(x - 1)
3x + 9 = 4x - 4
4x - 3x = 9 + 4
x = 13

I hope the procedure is clear enough for you to understand. I also hope that this is the answer that has actually come to your desired help.

You might be interested in

A 15-foot ladder is leaning against a house. The bottom of the ladder is 9 feet away from the base of the house. How far up the

vitfil [10]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = 9² + h²

225 = 81 + h²

h² = 225 - 81 = 144

h = √144 = 12 feet

7 0

3 years ago

Custumers of a phone company can choose between two service plans for long distance calls. The first plan has a $9 monthly fee a

saul85 [17]

The answer is 350.

m= minutes

Plan 1: 9+0.13m
Plan 2: 23+0.09m

9+0.13m = 23+0.09m
-9 -9
0.13m = 14+0.09m
-0.09m -0.09m
0.04m= 14
14÷0.04= 350
m= 350

3 0

3 years ago

Read 2 more answers

Which of the following expressions can be used to calculate the area of a square with side lengths 5 inches?

NemiM [27]

Step-by-step explanation:

5x5

because 5^2 equals the area

4 0

2 years ago

for every 5 tacos,julianna uses 2 cups of shredded cheese. complete the table to show the relationships between the number of ta

jok3333 [9.3K]

For 5 taccos 2 cups cheese is needed.

So 10 taccos is 2*(5 taccos)=2*2 cups cheese =4cups

$\begin{gathered} As\text{ 5 taccos=2cup cheese} \\ 1\text{ tacco=}\frac{2}{5}\text{cup cheese} \\ As\text{5 taccos=2cup cheese} \\ 1\text{ cup cheese=}\frac{5}{2}\text{taccos} \\ So\text{ 10 tacco=10}\ast\frac{2}{5}\text{cup cheese=2}\cdot2=4\text{cups} \\ 10\text{ cup cheese =10}\ast\frac{5}{2}\text{tacco}=5\ast5=25tac\cos \end{gathered}$ $35\text{ taccos}=35\ast\frac{2}{5}=7\cdot2=14\text{ cup cheese}$ $24\text{ cup cheese=}24\ast\frac{5}{2}=12\ast5=60tac\cos$

So to convert taccos to cups of cheese multiply by 2/5 and from cups of cheese to taccos multiply by 5/2.

4 0

1 year ago

Simplify the expression: 2(5r + 8)

Ganezh [65]

Answer:

2(5r + 8) = 10r + 16

Explanation:

Given the expression:

2(5r + 8)

Remove the parentheses

2 × 5r + 2 × 8

= 10r + 16

8 0

10 months ago