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Mumz [18]
3 years ago
12

Solve the logarithmic equation for x.

Mathematics
1 answer:
aev [14]3 years ago
4 0

Answer:

x = 2   or  x = 4

Step-by-step explanation:

Solve:   2 log x = log 2 + log(3x - 4)

log (x^2) =  log 2 + log (3x - 4)

log (x^2) = log [2*(3x - 4)]

x^2 =  2*(3x - 4)

x^2 = 6x - 8

x^2 - 6x + 8 = 0

factor:

(x - 2 )(x - 4) = 0

x = 2   or  x = 4

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a cylindrical well has a radius of 10 feet and a height of 15 feet what volume of water will it take to fill in the well
vampirchik [111]

Volume of water will it take to fill in the well is 4710 cubic feet

<h3><u>Solution:</u></h3>

Given that a cylindrical well has a radius of 10 feet

Height of cylindrical well = 15 feet

To find: volume of water will it take to fill in the well

Since, the well is in the form of cylinder, This means that we need to find the volume of cylindrical well

<em><u>The volume of cylinder is given as:</u></em>

\text { Volume of water in the well }=\pi r^{2} h

Where "r" is the radius and "h" is the height of cylinder

Substituting the given values we get,

\begin{array}{l}{\text { Volume of water in the well }=(3.14) \times(10)^{2} \times(15)} \\\\ {=(3.14) \times(1500)=4710}\end{array}

\text { Volume of water in the well }=4710 \text { feet }^{3}

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