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3 years ago

Please help me with this math

Mathematics

1 answer:

Lynna [10]3 years ago

7 0

Number 3: 176 squared cm

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Find the value of x which satisfies the following equation.<br> log2(x−1)+log2(x+5)=4

weqwewe [10]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: x = 3$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: log_{2}(x - 1) log_{2}(x + 5) = 4$

$\qquad \tt \rightarrow \: log_{2} \{(x - 1)(x + 5) \} = 4$

[ log (x) + log (y) = log (xy) ]

$\qquad \tt \rightarrow \: ( x - 1)(x + 5) = {2}^{4}$

$\qquad \tt \rightarrow \: {x}^{2} + 5x - x - 5 = 16$

$\qquad \tt \rightarrow \: {x}^{2} + 4x - 5 - 16 = 0$

$\qquad \tt \rightarrow \: {x}^{2} + 4x -21 = 0$

$\qquad \tt \rightarrow \: {x}^{2} + 7x - 3x - 21 = 0$

$\qquad \tt \rightarrow \: x(x + 7) - 3(x + 7) = 0$

$\qquad \tt \rightarrow \: (x + 7)(x - 3) = 0$

$\qquad \tt \rightarrow \: x = - 7 \: \: or \: \: x = 3$

The only possible value of x is 3, since we can't operate logarithm with a negative integer in it.

$\qquad \tt \rightarrow \: x = 3$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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2 years ago

2(rt-4+2) when r=5 and t=2

Whitepunk [10]

Answer:

Step-by-step explanation:

2(5x2-4+2)=2(10-4+2)=2x4=8

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3 years ago

Find the volume of a cylinder with a radius of 3 meters and a height of 13 meters. Use 3.14 The volume of the cylinder is Type a

zvonat [6]

<h2><u>Question</u>:-</h2>

Find the volume of a cylinder with a radius of 3 meters and a height of 13 meters.

<h2><u>Answer</u>:-</h2>

<h3>Given:-</h3>

$\bullet$ Radius (r) of a cylinder = 3 meters.

$\bullet$ Height (h) of a cylinder = 13 meters.

The volume of a cylinder.

<h2>Solution:-</h2>

We know,

Formula of Volume of a cylinder is πr²h.

So, Volume of a cylinder = 3.14 × (3)² × 13

Volume of a cylinder = 3.14 × 3 × 3 × 13

Volume of a cylinder = 367.38 cubic meters.

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Step-by-step explanation:

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