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3 years ago

Log(x+3)(2x+3)+log(x+3)(x+5)=2

1 answer:

4 0

<span>log(x-3)+log(x) = 2 + log(x+2)
---------------------------
log[(x-3)x] - log(x+2) = 2
-----
log[(x^2-3x)/(x+2)] = 2
----
(x^2-3x)/(x+2) = 2^2
-------

x^2-3x = 4x+8
x^2 - 7x - 8 = 0
Factor:
(x-8)(x+1) = 0
Positive solution:
x = 8</span>

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2 years ago

What is the measure of angle c?

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Answer:

c = 127°

Step-by-step explanation:

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1 year ago

The base of a rectangular prism has an area of 24 square millimeters. The volume of the prism is 144 cubic millimeters. The shap

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Answer:

height = 6 mm

Step-by-step explanation:

The prism is a rectangular prism. The base area of the prism is 24 mm². The volume of the prism is given as 144 mm³.

The height of the prism can be solved as follows.

Volume of the rectangular prism = Bh

where

B = base area

h = height

Volume = 144 mm³

B = 24 mm²

volume = Bh

144 = 24 × h

144 = 24h

divide both sides by 24

h = 144/24

h = 6 mm

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3 years ago