All categories

2 years ago

What are the solutions to log subscript 6 baseline (x squared 8) = 1 log subscript 6 baseline (x)

Mathematics

1 answer:

n200080 [17]2 years ago

8 0

The solution of the logarithmic equation is given by the antilog. Then the value of x is 2 and 4.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The logarithmic equation is given below.

$\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)= \log _66x\\$

Take antilog, then we have

$\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}$

Then the value of the x is 2 and 4.

More about the factorization link is given below.

brainly.com/question/6810544

You might be interested in

Sound travels through a guitar string at 600 m/s, making a sound wave in the air with a speed of 333 m/s. In 1–2 sentences, expl

Shalnov [3]

Answer:

Step-by-step explanation:

Wave velocity of the sound = frequency * wavelength.

The frequency and wavelength depend on the medium through which the sound passes and they are both greater in the guitar string than in air as the string is denser than the air. So the sound travles faster through the guitar string.

4 0

2 years ago

You have $30 dollars saved up. Every week you spend $6 at the arcade. Write an equation in slope intercept form that shows how m

Colt1911 [192]

Answer:

y = -6x + 30

Step-by-step explanation:

The inicial value you have is $30, so this will be the value of y after 0 weeks, that is, x = 0

After one week, you spend $6, so you will have y = 30 - 6 = 24 when x = 1.

With these pair of values, we can find the linear equation:

y = ax + b

for x = 0, y = 30:

30 = a*0 + b

b = 30

for x = 1, y = 24:

24 = a*1 + 30

a = 24 - 30 = -6

So, our equation is:

y = -6x + 30

7 0

3 years ago

Allison bought some shirts for he clothing store for $15 each. She received $50 off her entire purchase and spent a total of $40

k0ka [10]

The $50 off was like a coupon after you brought all your merchandise to the counter, so we have to add it back in to determine the number of shirts.

$400+$50=$450 original price of shirts

Original price ÷ price per shirt= quantity purchased

$450 ÷ $15/shirt= 30 shirts purchased

Allison bought 30 shirts.

Hope this helps! :)

6 0

3 years ago

In one town 44% of all voters are Democrats if two voters are randomly selected for a survey find the probability that they are

kenny6666 [7]

Answer:

0.194

Step-by-step explanation:

Probability that BOTH are democrats means probability of <u>"one being democrat"</u> AND <u>"another also being democrat"</u>.

The AND means we need to MULTIPLY the individual probability of a person being democrat.

Probability that a voter is democrat is 44% (0.44) -- stated in the problem

Now, Probability BOTH being Democrats is simply MULTIPLYING 0.44 with 0.44

$0.44*0.44=0.1936$

Rounded to nearest thousandth, 0.194

Last answer choice is correct.

6 0

2 years ago

A curious accountant at a large firm would like to know if money can buy happiness. She selects a random sample of 30 of her wea

vova2212 [387]

Answer:

Step-by-step explanation:

6 0

2 years ago