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slamgirl [31]
3 years ago
9

What is another way of asking, "What is the log base of sixty four?"

Mathematics
1 answer:
shutvik [7]3 years ago
7 0
One number or word is missing in the statement.

Assume you mean "what is the log base 4 of 64?"

That is:

log_{4}64=x

Since, logarithm is the inverse function of exponential, another way to say that is to what exponent must be raised 4 to make 64?

This is, find x such that 4 ˣ = 64

Since 64 is 4³, the answer would be 3.

If the question were "what is the log base 2 of 64?" then other way to say it is to what number must be raised 2 to make 64?

And the answer is found making:

2ˣ = 64

2ˣ = 2⁶

Therefore, x = 6.
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Theorem 8.18 and the Pythagorean Theorem to find the side lengths of the kite . Write the lengths in simplest radical form and a
Viktor [21]

Answer:

|WX|=|XY|=\sqrt{18} =3\sqrt{2}\:Units \:or\: 4.2 \:Units\\|WZ|=|YZ|=\sqrt{34} \:Units \:or\: 5.8 \:Units

Step-by-step explanation:

<u>Theorem: The diagonals of a kite are perpendicular.</u>

Let O be the point of intersection of the diagonals,

Applying Pythagoras Theorem, in right triangle WOX

|WX|^2=|WO|^2+|OX|^2\\|WX|^2=3^2+3^2=18\\|WX|=\sqrt{18} =3\sqrt{2}\:Units \:or\: 4.2 \:Units

Applying Pythagoras Theorem, in right triangle WOZ

|WZ|^2=|WO|^2+|OZ|^2\\|WX|^2=3^2+5^2=34\\|WZ|=\sqrt{34} \:Units \:or\: 5.8 \:Units

4 0
3 years ago
Write the equation described in each case.
Lapatulllka [165]

Answer:

The Answer is: y = -1/4x + 6

Step-by-step explanation:

Given point: (4, 5)

Given equation: y = -1/4x - 11

Slope: m = -1/4, a parallel line will have the same slope.

Start with the point slope form and solve for y:

y - y1 = m(x - x1)

y - 5 = -1/4(x - 4)

y - 5 = -1/4x + 1

y = -1/4x + 1 + 5

y = -1/4x + 6

Proof:

f(x) = -1/4x + 6

f(4) = -1/4(4) + 6

= -1 + 6 = 5, giving (4, 5)

Hope this helps!! Have an Awesome day!!! :-)

4 0
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Evaluate each expression for g = -7 and h = 3 and match it to its value.
Leno4ka [110]
I got 4 but i’m not 100% correct
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