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2 years ago

What is the first step in solving ln(x − 1) = ln6 − lnx for x?

Mathematics

2 answers:

Zarrin [17]2 years ago

8 0

The first step to solving this problem is Multiplying In(x-1).

JulsSmile [24]2 years ago

6 0

Answer:

The first step is to apply the laws of logarithms and write (In 6 - In x) as a single logarithms.

Solving he equation, x = 3 or x = -2.

Step-by-step explanation:

In (x - 1) = In 6 - In x

To solve this, we first apply the laws of logarithms and write (In 6 - In x) as a single logarithms.

In 6 - In x = In (6 ÷ x) = In (6/x)

In |(x - 1)| = In |(6/x)|

We can then say that

(x - 1) = (6/x)

x(x - 1) = 6

x² - x - 6 = 0

x² - 3x + 2x - 6 = 0

x(x - 3) + 2(x- 3) = 0

(x - 3)(x + 2) = 0

x = 3 or x = -2

Hope this Helps!!!

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Explanation:

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Which is the simplified form of n Superscript negative 6 p cubed?

evablogger [386]

Answer:

Third option. $\frac{p^3}{n^{6}}$

Step-by-step explanation:

For this exercise you need to remember one of the properties for exponents.

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$b^{-n}=\frac{1}{b^n}$

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Multiply and Simplify. 4x+4/x^2 × (x+2)(x-1)/x+1

NARA [144]

Answer:

Step-by-step explanation:

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2 years ago

If a spherical ball is enlarged so that its surface area is 9 times greater than its original surface area, then the original ra

luda_lava [24]

The surface area of a sphere is $A = 4 \pi r^{2}$ and if the original S.A was is enlarged to have it 9 times greater, the radius would be multiplied by 3 or roughly 2.99626 rounded off to 3.0.

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