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Gnoma [55]
3 years ago
12

What is the solution of ln(x-2)^2=6?

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0
We will solve for
x
using the very basic properties of natural logarithms. I'll illustrate it below.
Explanation:
We have,
ln
(
x
−
2
)
2
=
6
Using the property,
ln
m
n
=
n
ln
m
,
We have,
ln
(
x
−
2
)
2
=
6
⇒
2
ln
(
x
−
2
)
=
6

⇒
ln
(
x
−
2
)
=
3

⇒
x
−
2
=
e
3
In the last step, we used the concept of inverse of the natural logarithms,
ln
m
=
n
⇒
m
=
e
n
Thus,
x
=
e
3
+
2
Where e is the base of natural logarithms.

Source: socratic.org
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vova2212 [387]
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7 0
3 years ago
Two sides of a triangle measure 8 cm and 15 cm. Whi[:h could be the length of the third side?
lutik1710 [3]

18 cm is correct .

Step-by-step explanation:

The sum of two smaller sides is greater that the largest side.

It is given that the two sides of a triangle measure 8 cm and 15 cm.

Case 1: Let 8 cm and 15 cm. are smaller side. So,

<em>Third side < 8 + 15</em>

<em>Third side < 23</em>

<em>It means 3rd side must be less than 23</em>

<em>Case 2: Let 15 cm is the largest side.</em>

<em>15 < Third side + 8</em>

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8 0
3 years ago
Simplify 45÷2×8-12+42<br> Please show working
Allushta [10]

Answer:

210

Step-by-step explanation:

Lets use BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)

45 ÷ 2 = 22.5

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168 + 42 = 210

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

6 0
3 years ago
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