${2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...$

Let me know if you need further explanation.

Thank you

7 0

3 years ago

How to represent 0.5 on a decimal grid

Alina [70]

Answer:

put one and then put 0.5 in between 0 an 1

Step-by-step explanation:

7 0

3 years ago

the length of a rectangle is 3cm greater then it's width. The perimeter is 24cm. Find the dimensions of the rectangle.

vodomira [7]

Length is 15 while width is 9

5 0

3 years ago

Read 2 more answers

A certain bean plant grows 15% of its height each day today after 10 days the bean plant is 27 inches tall how tall was it yeste

frez [133]

Given:
15% of its height each day
27 inches on day 10.

How tall was it yesterday?

27 represents 115% of the height yesterday. So we divided 27 by 115% to get yesterdays height.

27 ÷ 115% = 23.48 inches.

The plant was 23.48 inches tall yesterday.

To check:
23.48 x 15% = 3.52 inches
23.48 + 3.52 = 27 inches

3 0

3 years ago