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2 years ago

What is the logarithmic form of 12² = 144?

Mathematics

2 answers:

asambeis [7]2 years ago

7 0

Answer:

log_(12(144))=2

Step-by-step explanation:

klio [65]2 years ago

4 0

Answer:

$log_{12}$ 144 = 2

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ x = n ⇔ x = $b^{n}$

Given

12² = 144 ← in index form

with b = 12, n = 2, x = 144, then

$log_{12}$ 144 = 2 ← in logarithmic form

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Two boxes have the same volume. One box has a base that is 5\text{ cm}5 cm5, start text, space, c, m, end text by 5\text{ cm}5 c

sveticcg [70]

Answer:

4times tall

Step-by-step explanation:

Volume of the boxes = Base area × height

Volume of the first box V1 = A1h1

Given the base of the first box to be 5cm, the base area:

A1 = 5cm×5cm = 25cm²

Volume of the first box V1 = 25h1... 1

Similarly, volume of the second box

V2 = A2h2

Given the base of the second box to be 10cm, the base area:

A2= 10cm×10cm = 100cm²

Volume of the second box

V2 = 100h2... 2

If the two boxes have the same volume, then V1 = V2

25h1 = 100h2

divide both sides by 25

25h1/25 = 100h2/25

h1 = 4h2

Since the height of the smaller box is represented as h1, then the height of the smaller base is 4 times tall.

3 0

2 years ago

Which of the following are rational numbers {7,-5,2/3,5.79,,√13,√-4}

Ilia_Sergeevich [38]

Answer:

7, -5, 2/3, 5.79

Step-by-step explanation:

rational numbers are numbers you can put in fraction form. $\sqrt{13}$ is not a perfect square, therefore you cannot put it in fraction form. $\sqrt{-4}$ is an imaginary number. Rational numbers are in the Real Numbers category, so it is not a rational number.

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2 years ago

Scientists on a submarine are investigating Earth's magnetic field.

Contact [7]

Answer:

Net_change_in_depth = 450/7 ft = 64 2/7 ft

Step-by-step explanation:

Missing info attached below

Depth_of_the_frequency_signal = -180 4/7 ft = -1264/7 ft

Depth_of_the_submarine = -116 2/7 ft = -814/7 ft

Net_change_in_depth =

Depth_of_the_submarine - Depth_of_the_frequency_signal

Net_change_in_depth = -814/7 ft - (-1264/7 ft)

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6 0

2 years ago

Read 2 more answers

Consider the following system of equations.

Sidana [21]

Y = 6x - 6 therefore y - 6x = -6
y - 6x = 5
so:
-6 ≠ 5
There is no solution to this system.
==========================
$\left \{ {{y=6x-6} \atop {y-6x=5}} \right. \\ \left \{ {{6x-y=6} \atop {-6x+y=5 }} \right. \\ 0 \neq 11$

6 0

2 years ago

Factor the expression <br><br> by filling in the blank

inna [77]

Answer:

After factoring we get:

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