Ask question

Ask question

All categories

3 years ago

5

Plz help me with this

1 answer:

Setler79 [48]3 years ago

8 0

Answer: x = 8

(the correct answer was not provided as an option)

<u>Step-by-step explanation:</u>

$log_2(x-6)+log_2(x-4)=log_2(x)\\\\log_2[(x-6)(x-4)]=log_2(x)\\\\(x-6)(x-4)=x\\\\x^2-10x+24=x\\\\x^2-11x+24=0\\\\(x-3)(x-8)=0\\\\x=3\qquad x=8\\\\\\\text{The term after the log symbol (inside the parenthesis) must be greater than 0!}\\\\Check:\\3-6>0\ \text{FALSE --- so 3 is not a valid solution}\\\\8-6>0\ \text{TRUE}\\8-4>0\ \text{TRUE}\\8>0\ \text{TRUE --- 8 is a valid solution because it is true for all}$

You might be interested in

Someone solve and show your work. Thanks! I’m giving brainliest.

Dmitry [639]

Lol i was working on this earlier. First get rid of the parenthesis by distributing the powers to the other powers.

27/4x(6)y(8)
the () are for powers

3 0

3 years ago

the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represent a function what is a rule that represents this function? Please help

yarga [219]

Answer:

The function rule is

$f: x\to \: {x}^{2} - 1$

Step-by-step explanation:

The given ordered pairs are (0,-1), (1,0),(2,3),(3,8),(4,15)

We can observe the following pattern.

$f(0) = {0}^{2} - 1 = - 1$

$f(1) = {1}^{2} - 1 = 0$

$f(2) = {2}^{2} - 1 = 3$

$f(3) = {3}^{2} - 1 = 8$

$f(4) = {4}^{2} - 1 = 15$

When we generalize this pattern, we obtain:

$f(x) = {x}^{2} - 1$

This is the function equation.

The function rule is

$f: x\to \: {x}^{2} - 1$

8 0

3 years ago

The prime factorization of a number n can be written as n=pr whose p and r are distinct primes. how many factors does n have not

GenaCL600 [577]

It has 3 factors, p, r, and n.

8 0

3 years ago

Solve for m.<br> m/9 + 2/3 =7/3

Nuetrik [128]

Answer:

m= 15

Step-by-step explanation:

$\frac{m}{9} + \frac{2}{3} = \frac{7}{3}$

To solve for m, start by moving the constants (numbers that are not attached to any variable) to the other side of the equation.

$\frac{m}{9} = \frac{7}{3} - \frac{2}{3}$

Simplify:

$\frac{m}{9} = \frac{5}{3}$

Multiply both sides by 9:

$m = \frac{5}{3} \times 9$

Crossing out 3 from the denominator and from 9:

m= 5(3)

m= 15

8 0

2 years ago

What is the distance between -2 1/2, -5 3/4

Leviafan [203]

Answer:

Step-by-step explanation:

it's kinda confusing b/c of the minus signs.. huh... but -5 is less than -2 sooo

start with

-2 1/2 - (-5 3/4 )

=5 3/4 - 2 1/2

=5 3/4 - 2 2/4

=23/4 - 10/4

=13/4

there you go... :)

if you want it back in proper fractions

3 1/4

8 0

3 years ago