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SOVA2 [1]
3 years ago
7

What is the solution to the equation log(2x + 4) = 2? Round to the nearest thousandth, if necessary.

Mathematics
1 answer:
Kazeer [188]3 years ago
5 0

Answer: 48

Step-by-step explanation:

log_{b}M=n--> M=b^{n} \\log(2x+4)=2\\b=10, M=2x+4, n= 2 \\\\2x+4=10^{2} \\2x+4=100\\2x=96\\x=48

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The iron cube of side 42 com has a hole of diameter 14cm
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Answer:

Step-by-step explanation:

Total surface of the cube = 6a²

                                          = 6 * 42 * 42

                                          = 10584 cm²

Hole that is drilled out, will make a cylinder shape in the middle of the cube

Volume  of iron in the cube = Volume of cube  - volume of cylinder

Volume of cube = a³

                          = 42 * 42 * 42

                         = 74088 cm³

Cylinder:

r = 14/2 = 7 cm

h = sideof the cube = 42 cm

Volume = πr²h

            =\frac{22}{7}*7*7*42\\\\=22*7*7*6

           = 6468 cm³

Volume  of iron in the cube = Volume of cube  - volume of cylinder

                                             = 74088 - 6468

                                             = 67620 cm³

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3 years ago
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