COMPUTERS The byte is the fundamental unit of computer processing.

What is the solution to this equation? 2ln4+lnx=3ln2+ln(x+1)

Galina-37 [17]

Answer:

$x=1$

Step-by-step explanation:

Given equation:

$2 \ln 4+\ln x=3 \ln 2+\ln(x+1)$

$\textsf{Apply the power law}: \quad n \ln x = \ln x^n$

$\implies \ln 4^2+\ln x=\ln 2^3+\ln(x+1)$

Simplify:

$\implies \ln 16+\ln x=\ln 8+\ln(x+1)$

Subtract ln 8 from both sides:

$\implies \ln 16+\ln x- \ln 8=\ln(x+1)$

Subtract ln x from both sides:

$\implies \ln 16-\ln 8=\ln(x+1)-\ln x$

$\textsf{Apply the quotient law}: \quad \ln x - \ln y = \ln \frac{x}{y}$

$\implies \ln \left\dfrac{16}{8}\right = \ln \left(\dfrac{x+1}{x}\right)$

Simplify:

$\implies \ln 2 = \ln \left(\dfrac{x+1}{x}\right)$

$\textsf{Apply the equality law}: \quad \textsf{if }\: \ln x= \ln y\:\textsf{ then }\:x=y$

$\implies 2=\dfrac{x+1}{x}$

Multiply both sides by x:

$\implies 2x=x+1$

Subtract x from both sides:

$\implies x=1$

5 0

2 years ago

In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above

creativ13 [48]

Answer: The "independent variable" is the "time" (in hours) that is plotted on the "x-axis". Note the "time" (in hours) can be "manipulated" in the sense that is it "chosen" by the humans who are measuring the data (e.g. when to start, how many hours, and at what intervals.

The "dependent variable" is the measurement (in feet) above or below the sea level, and this is plotted on the "y-axis". These values cannot be "manipulated" in the sense that one cannot "choose" what value or measurement the tide level would be at any particular time.

Hope these answers—and explanations—are of help to you.
Best wishes!

3 0

4 years ago

Look at pic DUE AT 4:00 HELPPP

liraira [26]

Answer:

The first is not equivalent, second is.

Step-by-step explanation:

2x-3.9x+7.5=5.9x+7.5

The first is not equivalent, second is.

7 0

3 years ago

Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Then she donates $2 to clean wate

Sauron [17]

Charges for filing each tax return not through the easiest form = $35

Charges for the filing each tax return through the easiest form = $0

Donation made to clean water project for each tax return filed = $2

Let total tax returns filed be 'a' and total tax returns filed at $35 be 'b'

⇒ Tax returns filed at $0 = a-b

Total money charged by Sterre = $7, 245

Total donation made by Sterre = $1, 242

Now, first we will determine the total tax returns filed by Sterre

Total donation made by Sterre = Donation made per tax return × Total returns filed by Sterre

⇒ 1,242 = 2 × a

⇒ a = 621

Hence, Sterre filed total of 621 tax returns

Now total money charged by Sterre = Charges for filing each tax return not through the easiest form × Tax returns filed at $35

⇒ 7,245 = 35 * b

⇒ b = 207

Hence, Sterre filed 207 returns at $35.

⇒ Tax returns filed at $0 = 621 - 207

⇒ Tax returns filed at $0 = 414

Hence, at $35, Sterre filed 207 tax returns, and at $0 Sterre filed 414 tax returns.

6 0

4 years ago

How to solve the unit rate y+2x=1

jonny [76]

Answer:

Step-by-step explanation:

The area enclosed by y=1 and ±2x+y=2 is (in square unit).

5 0

3 years ago