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Agata [3.3K]
2 years ago
6

Solve the exponential equation: 2^10 = 4^2^x

Mathematics
1 answer:
arsen [322]2 years ago
3 0

Answer:

x = ln10/ln4

Step-by-step explanation:

2^10 = 4^2^x

Now, rewrite 4 with 2 as the base.

2^10 = 2^4^x

Now with rules of exponential equality, we can equal the powers on the left to the powers on the right as they both have the same base.

10 = 4^x

<em>using ln to lower the variable</em>, we get

ln10 = xln4

x = ln10/ln4

tadah!

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Answer:

The probability that the result is positive is P=0.04475=4.475%.

Step-by-step explanation:

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D: disease present

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The total amount of positive test are the sum of the positive when the disease is present and the false positives (positive tests when the disease is not present).

P(P)=P(P | D)*P(D)+P(P | ND)*(1-P(D))\\\\P(P)=0.99*0.005+0.04*0.995\\\\P(P)=0.00495+0.0398=0.04475

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5 0
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4 0
2 years ago
Sylvia, John, and Peter invested their savings in a bank. The ratio of the investment of Sylvia's to John's is 1: 3 and that of
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Answer:

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Using John's ratio to find a common ratio for all

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swat32

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6 0
3 years ago
Read 2 more answers
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