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3 years ago

What is the solution of (log4x − 6) 16 = 4? x = −2 x = 2 x = 3 x = 4

Mathematics

2 answers:

Pepsi [2]3 years ago

8 0

The solution of log(4x-6)16=4 is x = 2.

Zarrin [17]3 years ago

3 0

Answer:

Option 2nd is correct

x =2

Step-by-step explanation:

Using logarithmic rules:

if $\log_a b = x$ , then $a^x = b$

Given the equation:

$\log_{4x-6} 16 = 4$

Apply the rules we have;

$16 = (4x-6)^4$

We can write 16 as:

$16 = 2 \cdot 2 \cdot 2 \cdot 2 = 2^4$

then;

$2^4 = (4x-6)^4$

On comparing both sides we have;

$2 = 4x-6$

Add 6 to both sides we have;

$8 = 4x$

Divide by 4 to both sides we have;

2 = x

x = 2

Therefore, the value of x is, 2

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Kayra and Mycho sell flowers on weekends to earn extra money.For every 2 flowers that Kayra sells,Mycho sells 5. If Kayra sold 6

andreyandreev [35.5K]

Answer:

We know that:

For every two flowers that Kayra sells, Mycho sells 5.

Now, in the question we have:

"If Kayra sold 6 newspapers, how many did Mycho sell?"

There is no information about newspapers, so we can't answer anything.

If we had something like:

"If Kayra sold 6 flowers, how many did Mycho sell?"

Well, in this case, we remember that for every 2 flowers that Kayra sells, Mycho sells 5, then the first thing we need to do is count how many groups of 2 flowers we have in 6 flowers, this is:

6/2 = 3 groups.

And for each one of these, Mycho will sell 5 flowers, then the total number of flowers that Mycho sold is:

3*5 = 15 flowers.

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2 years ago

The population of a town has grown at an annual rate of 2.7%. How long does it take for it’s population of 18,450 people to doub

charle [14.2K]

It would take 26 years.

The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have

y = 18450(1+0.027)ˣ = 18450(1.027)ˣ

We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ

Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ

Using logarithms, we have
$\log_{1.027}2=x
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3 0

3 years ago

On a piece of paper, Graph y

creativ13 [48]

The answer to this question is A

5 0

3 years ago

Read 2 more answers

4/x-1+6/x+1=-12/x^2-1

Mademuasel [1]

$\frac{4}{x - 1} + \frac{6}{x + 1} = \frac{-12}{x^{2} - 1}$

$\frac{4(x + 1)}{(x - 1)(x + 1)} + \frac{6(x - 1)}{(x - 1)(x + 1)} = \frac{-12}{x^{2} - 1}$

$\frac{4x + 4}{x^{2} - 1} + \frac{6x - 6}{x^{2} - 1} = \frac{-12}{x^{2} - 1}$

$\frac{10x - 2}{x^{2} - 1} = \frac{-12}{x^{2} - 1}$

$(10x - 2)(x^{2} - 1) = -12(x^{2} - 1)$
$10x^{3} - 10x^{2} - 2x^{2} + 2 = -12(x^{2}) + 12(1)$
$10x^{3} - 12x^{2} + 2 = -12x^{2} + 12$
$10x^{3} - 12x^{2} + 12x^{2} + 2 = -12x^{2} + 12x^{2} + 12$
$10x^{3} + 2 - 2 = 12 - 2$
$\frac{10x^{3}}{10} = \frac{10}{10}$

$x^{3} = 1$
$x = 1$

4 0

3 years ago

F(x) = x^2. What is g(x)?

fredd [130]

Good evening ,

Answer:

B. g(x)= -x² - 4

___________________

Step-by-step explanation:

The graph of g is downward facing then we must have (-) before the x²

Since, The vertex of parabola g is on point (0 ,-4) then we have to subtract 4.

3 0

3 years ago