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4 years ago

Solve the equation below: ln x- ln 5= -1

Mathematics

1 answer:

Anastaziya [24]4 years ago

4 0

Answer:

x = 5/e

Step-by-step explanation:

ln x- ln 5= -1

We know that ln a - ln b = ln (a/b)

ln x- ln 5= -1

ln(x/5) = -1

Raise each side to the power of e

e^ ln(x/5) = e^-1

We know that e^-1 = 1/e

x/5 = 1/e

Multiply each side by 5

x/5 *5 = 1/e * 5

x = 5/e

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What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the r

boyakko [2]

Answer:

The coordinates of the point X:

(x, y) = (-1, -7)

Step-by-step explanation:

Let X be the point.

As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

$\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)$

$\left(x_2,\:y_2\right)=\left(5,-1\right)$

Rise = y₂ - y₁

$= -1 - (-8)$

$= -1 + 8$

$= 7$

Run = x₂ - x₁

$= 5 - (-2)$

$= 5 + 2$

$= 7$

1 : 6 ratio means the point X lies at

$\frac{1}{6+1}=\frac{1}{7}=14\%$

Thus,

rise for X $=\:7\:\times \:14\%=1$

run for X $=\:7\:\times \:14\%=1$

Thus, coordinates of X will be:

$x = -2 + 1 = -1$

$y = -8 + 1 = -7$

Therefore, we conclude that:

The coordinates of the point X:

(x, y) = (-1, -7)

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3 years ago

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Answer:

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