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2 years ago

Solve the following logarithmic equations. 5 log(x + 4) = 10

Mathematics

1 answer:

Ede4ka [16]2 years ago

6 0

Answer:

$x=e^{2} -4$

Step-by-step explanation:

Divide both sides by 5:

$log(x+4)=\frac{10}{5} \\log(x+4)=2$

Cancel logarithms by taking exp of both sides:

$e^{log(x+4)}=e^{2} \\x+4=e^{2}$

Solve for x subtracting 4 from both sides:

$x=e^{2} -4$

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain

horrorfan [7]

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a fisher at Clearwater Park had a fishing license

<em>Y</em> = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

= 48 + 32

= 80

N (Y) = n (Y) + n (Y')

= 72 + 18

= 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

$P(X'\cap Y)=P(X')\times P(Y)$

$=\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32$

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

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3 years ago