All categories

3 years ago

10. Explain why log328 is between 3 and 4.

Mathematics

1 answer:

maw [93]3 years ago

8 0

Answer:

See explanation.

(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)

Step-by-step explanation:

I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

......

I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.

log_3(28) means the value x such that 3^x=28.

Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.

You might be interested in

Which set of ordered pairs represents y as a function of X? a{(-9, 2), (0, 6), (1, -2), (-3, 6)} b{(-1,0), (4, 3), (-7, -3), (-1

olga nikolaevna [1]

A is your answer

Explanation:

When dealing with functions, x’s never repeat.

8 0

2 years ago

What algebraic expression represents the phase “two times the quantity of a number minus 12”

MakcuM [25]

Answer:

2(n-12)

Step-by-step explanation:

3 0

3 years ago

ILL MARK U BRAINLIEST!

V125BC [204]

B is the answer i hope it helps i

4 0

2 years ago

Read 2 more answers

Find the value of y. 148° y x y = [?]°

Greeley [361]

Answer:

y=90 degree

Step-by-step explanation:

bcz this triangle is drawn in the semi-circle and the greatest angle of triangle in a semi-circle is always right angle.

8 0

2 years ago

-6(x+7)=-4x-2 How many solutions does it have

geniusboy [140]

Answer:

Equation have Unique solution i.e $x=-20$

Step-by-step explanation:

Given Equation:

$-6(x+7)=-4x-2$

Solving the Equation for 'x'.

$-6(x)-6(7)=-4x-2\\\\-6x-42=-4x-2$

Adding ' $4x$ ' both sides:

$-6x+4x-42=-4x+4x-2\\\\-6x+4x-42=-2\\\\-2x-42=-2$

Adding '42' both sides:

$-2x-42+42=-2+42\\\\-2x=40$

$x=\frac{40}{-2} \\\\x=-20$

The equation have Unique solution with the value of $x=-20$

6 0

3 years ago