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3 years ago

Y=log x If y=10, then what is x?

Mathematics

1 answer:

netineya [11]3 years ago

8 0

Answer:

First question, x= 10^10.

Second question is 10!. or 362880

Step-by-step explanation:

First Question:

Simple logx has a base of 10, i.e log10 x,

the question will be 10 = log10 x,

when taking the base "10" from the right side to the left, the number on the left side becomes the power of the base, in this case 10 from the right will be base and 10 from the left will power and log will vanish.

x=10^10.

Another example with different numbers

Y=logx if Y= 12, What is x?

The base is ten when not given,so:

12=logx

10^12=x

Second Question;

simple multiplication just multiply the numbers.

10! is pronounced as 10 factorial,

5! will be 5x4x3x2x1=120

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Name the sets of numbers to which each number belongs.

Vikentia [17]

The sets for each of the given numbers are:

6426: Real, rational, integer and whole.
√7: Real and irrational.
2π: Real and irrational.
4.0: Real, rational, integer, whole.
√(25/36): Real and rational.
-√16: Real, rational, and integer.
-35: Real, rational, and integer.
-31.8: Real and rational.

<h3>To which set each number belong?</h3>

Here we need to identify 3 sets

Rational numbers: all of these that can be written as a quotient of two integers.
Irrational numbers: all of these that can't be written as a quotient of two integers.
Integers: Any number that can be got by adding or subtracting ones.
Whole numbers: All the integers equal or larger than 0.
Real number: any of the above is a real number.

The first number is:

6426

It can be rewriten to:

6426/1

So this is: Real, rational, integer, and whole number.

Second number:

√7

This is a real and irrational number (square roots of non-square numbers are irrational numbers).

Third number:

2π

This is a real and irrational number, because π is irrational.

Fourth number:

4.0

This is: Real, rational, whole, and integer.

Fifth number:

√(25/36)

We can simplify that to:

√(25/36) = 5/6

So this is a real and rational number.

Sixth number:

-√16 = -4

That is a: Real, rational, and integer number

Seventh number:

-35

Same as the above one, real, rational, and integer.

Eight number:

-31.8

It can be written as:

-31.8 = -318/10

So this is real and rational number.

If you want to learn more about rational and irrational numbers:

brainly.com/question/12088221

#SPJ1

4 0

2 years ago

PLEASE HELP!!20 pts question

Molodets [167]

value of x is x=2, x=-2 and x=0

Step-by-step explanation:

Let a = x^2+4. Use a to find the solution for the following equation:

$(x^2+4)^2+32=12x^2+48$

Solving

$(x^2+4)^2+32=12x^2+48$

Taking 12 common from LHS

$(x^2+4)^2+32=12(x^2+4)$

Let a=x^2+4

$(a)^2+32=12(a)\\a^2+32=12a\\a^2-12a+32=0$

Factoring the equation

$a^2-8a-4a+32=0\\a(a-8)-4(a-8)=0\\(a-8)(a-4)=0\\a-8=0\,\,and\,\,a-4=0\\a=8\,\,and\,\,a=4\\$

Putting value of a i.e x^2+4

$x^2+4=8\,\,and\,\,x^2+4=4\\x^2=8-4\,\,and\,\,x^2=4-4\\x^2=4\,\,and\,\,x^2=0\\Taking\,\,square\,\,root\,\,at:\\x=\pm 2\,\,and\,\,x=0\\$

So, value of x is x=2, x=-2 and x=0

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

8 0

3 years ago

Find the exact solutions and simplify as much as possible: 3x^2+1=6x

svetoff [14.1K]

Answer:

$\frac{3+ \sqrt{6} }{3}$ and $\frac{3- \sqrt{6} }{3}$

Step-by-step explanation:

This is a quadratic equation, so we start by rearranging its terms so we can apply the quadratic formula:

$ax^2+bx+c=0$ has two possible solutions given by:

$x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}$

So we rearrange the terms in the given quadratic equation bringing all terms to the left hhand side of the equal sign:

$3x^2+1=6x\\3x^2-6x+1=0$

The solutions will then be:

$x=\frac{6+/- \sqrt{36-4(3)(1)} }{2(3)}=\frac{6+/- \sqrt{36-12} }{6}=\frac{6+/- \sqrt{24} }{6}=\frac{6+/- \sqrt{4*6} }{6}=\frac{6+/- 2\sqrt{6} }{6}=\frac{3+/- \sqrt{6} }{3}$

Therefore the two possible answer are: $\frac{3+ \sqrt{6} }{3}$ and $\frac{3- \sqrt{6} }{3}$

5 0

3 years ago

David boght a poster for an art project.The poster is 2.7 feet wide and 3.9 feet tall.what is the area of the poster? Enter your

Afina-wow [57]

Answer:

10.53 is the answer just multiply 2.7 times 3.9

4 0

3 years ago

Read 2 more answers

Can someone help me please

masha68 [24]

Answer:
17 inches

Explanation:
The Pythagorean theorem states that a^2+b^2=c^2 when c is the longest side (the hypotenuse) and a and b are the other two sides. This theorem can only be applied to right triangles.

First, plug the values into the formula.
a^2+b^2=c^2
8^2+15^2=c^2
64+225=c^2
289=c^2
Take the square root of both sides
c=17

I hope this helps!

5 0

2 years ago