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taurus [48]
3 years ago
6

Explain how to solve 2^(x + 1) = 9 using the change of base formula log base b of y equals log y over log b. Include the solutio

n for x in your answer. Round your answer to the nearest thousandth.
Mathematics
1 answer:
TEA [102]3 years ago
3 0

Answer:

<h3>x = 2log₂(3) - 1</h3>

Step-by-step explanation:

2ˣ⁺¹ = 9

x+1 = log₂(9)

x+1 = log₂(3²)

Transfer the power value inside the bracket and put it before the log.

x+1 = 2log₂(3)

<h3>x = 2log₂(3) - 1 </h3>

#StayPositive - kexcvi

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Mega Movies hosted a film premiere on Friday night. They charged $8 for adults and $5 for children. Ninety-two adults and childr
zmey [24]

Answer:

Step-by-step explanation:

a + c = 92.....c = 92 - a

8a + 5c = 688

8a + 5(92 - a) = 688

8a + 460 - 5a = 688

3a = 688 - 460

3a = 228

a= 228/3

a = 76 <==== adults

a + c = 92

76 + c = 92

c = 92 - 76

c = 16 <=== children

4 0
3 years ago
I do not know what to put and this was due yesterday
atroni [7]

Answer:

Your answer will be x=2

Step-by-step explanation:

Five plus 6 times a number is equal to 21 minus 2 times the number

Your equation is this:

5+6x=21-2x

Subtract 6x from both sides

5+6x-6x=21-2x-6x

5=21-8x

subtract 21 on both sides

5-21=21-21-8x

-16=-8x    Divide -8 on both sides

2=x

Hope this helps :)

8 0
2 years ago
Which statement is true?
Nadusha1986 [10]

The correct statement is D.

Step-by-step explanation:

Given,

For backyard

Length = 5x-2

Width = 2x+4

For house

Length = 5x-2

Width = 4x-12

For driveway

Length = x+10

Width = 4x-12

To find the correct statement.

Formula

The area of a rectangle = Length × Width

So,

The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)

= (4x-12)(5x-2+x+10)

= (4x-12)(6x+8)

=24x^{2} +32x-72x-96

= 24x^{2} -40x-96

So, the correct statement is D

You can cross check the other statements.

5 0
3 years ago
If f(x) = 4x4 + 5x2 + 4, then what is the remainder when f(x) is divided by<br> 2 + 2?
Westkost [7]

Step-by-step explanation:

16+10+4

26+4

30

30÷(2+2)

30÷4

7 1/2

4 0
3 years ago
A parabola with the equation y=a(x-b)^2+c has a minimum of (-2,1) and a y-intercept of 5. What are the values of a, b and c? Wha
Illusion [34]

Answer: 3^15

Step-by-step explanation: carry the one to the 5 divide by the third and multiply the fractions , find the mean ( average ) of the mode and square that to find your a b and c values

5 0
2 years ago
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