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3 years ago

Help me answer this pls

Mathematics

1 answer:

stira [4]3 years ago

6 0

Answer:

x=5

Step-by-step explanation:

From this information we know that,

$5x - 6 = 3x + 4 \\ 5x - 3x = 4 + 6 \\ 2x = 10 \\ x = 5$

Hope it helps :)

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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 ❞

4 0

2 years ago

Mia is calculating the volume of the cylinder below using the following work. A cylinder with height of 47 meters and diameter o

inn [45]

Mia’s first error was " she forgot to multiply π by (17.5)²(47) "

Step-by-step explanation:

The formula of the volume of a cylinder is V = π r² h, where

r is the radius of the base of the cylinder
h is the height of the cylinder

∵ The diameter of the base of the cylinder is 35 meters

∵ The radius = $\frac{1}{2}$ × diameter

∴ The radius = $\frac{1}{2}$ × 35 = 17.5 meters

∴ r = 17.5

∵ The height of the cylinder = 47 meters

∴ h = 47

- Substitute r and h in the formula of the volume

∴ V = π (17.5)²(47)

∵ Mai's first step is V = (17.5)²(47)

- She forgot to put π

∴ Her first error is she forgot to multiply π by (17.5)²(47)

Mia’s first error was " she forgot to multiply π by (17.5)²(47) "

Learn more:

You can learn more about the volume in brainly.com/question/6443737

#LearnwithBrainly

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4 years ago

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3 years ago

Antonio is buying milk for a breakfast event. Each container of milk costs $3. He must spend $12 or less on milk for the event.

madreJ [45]

Answer:

3x ≤ 12 x≤4

Step-by-step explanation:

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Kayla has $50 Nina has $80 in how many months will they both have the same amount of money if Kayla saves $50 per month and Nina

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3 years ago

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Help me answer this pls​

Help me answer this pls