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kipiarov [429]
3 years ago
9

What is x in 8 ^ (x - 1 ) = 16 ?Please help. ​

Mathematics
1 answer:
Anna007 [38]3 years ago
4 0

Answer:

x=7/3

Step-by-step explanation:

8 ^ (x - 1 ) = 16

We need to rewrite 8 as 2^3  and 16 as 2^4

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

We know that a^b^c = a^(b*c)

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

The bases are the same so the exponents are the same

3(x-1) = 4

Distribute

3x-3 = 4

Add 3 to each side

3x-3+3 = 4+3

3x = 7

Divide by 3

3x/3 = 7/3

x=7/3

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A hockey season ticket holder pays $88.56 for her tickets plus $5.00 for a program each game. A second person pays $19.76 for a
Aleksandr-060686 [28]

Answer: x = 6

Step-by-step explanation: If you take 88.56 + 5x = 19.76x, an equation, you should first rearrange the variables to the left side of the equation: 5x - 19.76x = -88.56.

Next, you should combine your like terms. So, -14.76 = -88.56.

Then, divide both sides of the equation by the coefficient of variable. So, x = -88.56 / -14.76./

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2 years ago
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3 years ago
What is the image point of (6,-<br> 1) after a translation left 4 units and down 5 units?
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Step-by-step explanation:

8 0
4 years ago
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A horizontal curve is being designed around a pond with a tangent length of 1200 ft and a central angle of 29.86 degrees. If the
lara31 [8.8K]

Answer:

The correct answer is "1287.02 ft"

Step-by-step explanation:

Given that:

T = 1200 ft

PI = 145+00

\Theta = 29.86°

or,

  = 0.5211 rad

As we know,

The radius of curve is:

⇒ T = R \ tan\frac{\Theta}{2}

1200=R \ tan(\frac{0.5211}{2} )

1200=R \ tan(0.267)

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The length of curve will be:

⇒ L=R \Theta

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hence,

Station PT will be:

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3 years ago
I need help the volume of a sphere is
Alenkinab [10]

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Answer: The radius r = 3 ft.

8 0
3 years ago
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