Use natural logarithms to solve the equation. Round to the nearest thousandth. 6e4x - 2 = 3

1 answer:

6 0

6 · e^(4x - 2) = 3
   e^(4x - 2) = .5
ln e^(4x - 2) = ln (.5)
4x - 2 = ln (.5)
   4x = ln (.5) + 2
   x = (ln (.5) + 2)/4
   x = 0.3267
   x ≈ 0.327

Answer: B

You might be interested in

What is the area of a cylindrical ring where the diameter of the cross section is 6.3 in and the center line has a length of 48

Nesterboy [21]

Answer:

The area of cylinder 949.536 in²

Step-by-step explanation:

Points to remember

Curved surface area of cylinder = 2πrh

Where r - radius of cylinder

h - Height of cylinder

<u>To find the area of cylinder</u>

Here r = diameter/2 = 6.3/2 = 3.15 in

h = 48 in

Area = 2πrh

= 2 * 3.14 * 3.15 * 48

= 949.536 in²

Therefore area of cylinder 949.536 in²

4 0

3 years ago

Choose all the units that are part of the metric system ?

KatRina [158]

Answer:

The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass)

Step-by-step explanation:

The metric system uses units such as meter, liter, and gram to measure length, liquid volume, and mass, just as the U.S. customary system uses feet, quarts, and ounces to measure these.

In addition to the difference in the basic units, the metric system is based on 10s, and different measures for length include kilometer, meter, decimeter, centimeter, and millimeter. Notice that the word “meter” is part of all of these units.

8 0

3 years ago

Read 2 more answers

(a - b)(a 2 + ab + b 2) HELP

Mila [183]

Hey there :)

( a - b )( a² + ab + b² )
Let us distribute ( a - b ) into the other

a ( a² ) + a ( ab ) + a ( b² ) - b ( a² ) - b ( ab ) - b ( b² )
a³ + a²b + ab² - a²b - ab² - b³

We can further simplify
a²b - ab² = 0
ab² - ab² = 0

a³ - b³

You can see in the picture which I have attached. It is the 8th formula