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Elis [28]
2 years ago
10

Solve the following exponential equations. 2(4^x )+ 4^(x+1 )= 342

Mathematics
1 answer:
Cloud [144]2 years ago
5 0

Answer:

  x ≈ 2.91644500708

Step-by-step explanation:

The equation can be simplified to ...

  2(4^x) +4(4^x) = 342

  6(4^x) = 342

  4^x = 57

Taking logarithms, we get ...

  x = log₄(57) = log(57)/log(4)

  x ≈ 2.91644500708

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I don't get this can u help me
murzikaleks [220]
The answer is y=5x. to solve just plug in the x values into the equation for example 5(2) = 10 just like it says on the table. Hope this helps
4 0
3 years ago
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Help pls!<br> simplify<br> -6 x^{2} ÷ 12 - 2(-7)<br><br> a. -17<br> b. 35<br> c. -35<br> d. 11
Mariana [72]

Answer:

11

Step-by-step explanation:

Given: \frac{-6^{2}}{12} -2(-7)

Using PEDMAS rule to solve it.

Now, simplifying:

We first open parenthesis which is (-7) = -7

= \frac{-6^2}{12}-2\times -7

Now, we evaluate the exponent which is -6^2=-36

Next, we divide -36 by 12 to get -3

= \frac{-36}{12}-2\times -7 \\= -3 -2\times -7

Next, we multiply -2 and -7 to get 14

= -3 + 14

Lastly, we add -3 and 14 to get 11

= 11

∴ Answer is 11

5 0
3 years ago
Find the area of the figure below. Round your answer to one decimal place.
MAVERICK [17]

Answer: 57.1 (rounded)

Step-by-step explanation:

Area of triangle formula: 1/2 x base x height

Area of a semicircle: 1/2 x pi x r^2

(1/2 x 8 x 8) + (1/2 x pi x 4^2)

= 57.1 (rounded)

4 0
2 years ago
Help ! please :D<br> i only have about 15 min &gt;
guapka [62]

Answer:

  1. First option
  2. Third option
  3. Last option

I hope this helps!

6 0
3 years ago
What is the answer to this equation? Must solve for x.<br> x+5=12x−4
natulia [17]

Answer:

x = 9/11

Step-by-step explanation:

x + 5 = 12x - 4

Subtract x from both sides

x + 5 - x = 12x - x - 4

        5   = 11x - 4

Add 4 to both sides

      5+ 4 = 11x - 4 + 4

            9 = 11x

Divide both sides by 11

         9/11 = 11x/11

          9/11 = x

x = 9/11

8 0
3 years ago
Read 2 more answers
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