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3 years ago

How do you solve this multi-step equation involving natural logarithms? ln(x-3)-ln5=1

Mathematics

1 answer:

sasho [114]3 years ago

5 0

Answer:

Step-by-step explanation:

Step 1, when subtracting logs with the same base you can rewrite it with one log and the argument becomes division...

ln(x - 3) - ln 5 = 1 becomes...

ln [ (x - 3)/5 ] = 1

Step 2, rewrite the by putting into exponential form...ln has a base of e, so we get..

e^1 = (x -3)/5

Now solve...

e = (x - 3)/5

5e = x - 3

5e + 3 = x

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Find the sum of all the integers from 1 to 100 that are not multiples of 7

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Answer:

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Step-by-step explanation:

To find multiple of 7 from 1 to 100,

Take the quotient of 100/7=14

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3 years ago

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max2010maxim [7]

Answer:

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Step-by-step explanation:

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3 years ago

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the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length

lisov135 [29]

Answer:

B. $4\sqrt{7}$

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

$h = \sqrt{(xy)}$

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

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