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3 years ago

Solve the equation for x. 3 In(x) + 2 In (4)= In(128)

Mathematics

1 answer:

Scilla [17]3 years ago

8 0

Answer:

x=2

Step-by-step explanation:

3 ln(x) + 2 ln (4)= ln(128)

a ln (b) = ln b^a

In(x^3) + In (4^2)= In(128)

In(x^3) + In (16)= In(128)

ln a + ln b = ln (ab)

In(16x^3) = In(128)

raise each side to the power of e

e^ In(16x^3) = e ^In(128)

e^ ln cancels out

(16x^3) = (128)

divide by 16

(16x^3)/16 = (128)/16

x^3 = 8

take the cube root on each side

(x^3)^1/3 = 8^ 1/3

x =2

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Here is the formula for finding the percentage of decrease:

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3 years ago

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3 years ago

Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. 1, 4, 7, 10, . . .

Kisachek [45]

Option a: add 3 to the previous term; 13, 16

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The sequence is 1, 4, 7, 10, ....

We need to determine the next two terms of the sequence.

Hence to find the next two terms, first we shall find the common difference between every two terms.

Common difference between 1 and 4 = $4-1=3$

Similarly, common difference between 4 and 7 = $7-4=3$

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Hence, the common difference is 3.

So, the next two terms will also have the same common difference 3.

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