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IT CAN BE MANY THINGS IT CAN EQUAL 4 OR IT CAN FISH BUT THAT JUST WHAT I KNOW

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2+2=5

use your fingers

3x + 2 = 5x

2 = 5x - 3x = 2x

2x = 2

x = 1

Infinity!!

Infinity is divisible by anything!!

This is an international forum......

I don't understand Spanish, at least. I am a Chinese.

Speak English, because it is most widely used around the Earth.

Use base change formula.

\(\log_415 = x\\ x = \dfrac{\ln 15}{\ln 4} \approx 1.953\)

I understand it as "taking away" 1/8 not "decreasing" 1/8.

Therefore answer = 24 - 1/8 = 23 7/8 = 23.875.

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The sum of squares of the side lengths of 2 legs of a right triangle will equal to the square of the side length of the hypotenuse.

i.e.: \(a^2 + b^2 = c^2\)

where a and b are the lengths of the 2 legs and c is the length of hypotenuse.

Any right triangles satisfies this Theorem.

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The number is 10y + x.

The tens digit means 'how many 10s' so multiply the tens digit by 10 and add the ones digit and then you get the answer.

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Maybe I am nerdy, but I am sure traditional.

if \(x+4609 \equiv 2104 \pmod{12}\) , x + 2505 is divisible by 12

x must be an odd number in order to make x + 2505 divisible by 12.

Trial and error:

Try x = 1, 1 + 2505 = 2506 <-- not divisible by 12.

Try x = 3, 3 + 2505 = 2508 <-- divisible by 12(2508 = 2 x 2 x 3 x 11 x 19)

Therefore the least positive integer x is 3.

\(\text{Let }x=i^i\\ \ln x = i \ln i\)

Now we need to find the value of ln(i).

\(e^{i\pi} = -1\\ \ln(-1)=i\pi\\ \ln i = \dfrac{1}{2}\ln(-1)= \dfrac{i\pi}{2}\)

Substitute the result into the equation:

\(\ln x = i\left(\dfrac{i\pi}{2}\right)\\ \quad \;\;=-\dfrac{\pi}{2}\\ e^{\ln x}=e^{-\pi /2}\\ x = e^{-\pi/2}\\ \therefore i^i = e^{-\pi /2}\)

e^(-pi /2) approximately equals 0.207879.

this helped so much thank you

b=17

a=4

\(12^{\frac{3}{4}}\times \sqrt[a]{12^b}=12^{\frac{3}{2}}\times \sqrt{12^7}\\ 12^{\frac{3}{4}+\frac{b}{a}}=12^{\frac{3}{2}+\frac{7}{2}}\\ \dfrac{3}{4} + \dfrac{b}{a}=5\\ \dfrac{b}{a} = 4\dfrac{1}{4} = \dfrac{17}{4}\)

b = any multiple of 17 and a = the corresponding multiple of 4.

That means when b = 2 x 17 = 34, a = 2 x 4 = 8.

i.e. a = 4k, b=17k, where k is a positive integer.

You cannot solve for a and b seperately unless you have 2 equations.