All categories

3 years ago

2log3(x) = 4 what is the solution?

Mathematics

1 answer:

IrinaVladis [17]3 years ago

8 0

Answer:

x = 2/log(3) is the solution

You might be interested in

The figure is the net for a rectangular prism. What is the surface area of the rectangular prism represented by the net? PLEASE

katrin2010 [14]

Do you have a picture or something so that I can help you

4 0

4 years ago

A cylinder with radius r and height 2r+4 contains a cube with edge length r + 2, as shown.

marishachu [46]

Volume is the amount of space in an object. The fraction occupied by the cube is: $\frac{r\sqrt2}{\pi(r + 2)}$

First, we calculate the volume of the cube.

$Volume = Length^3$

From the figure, we have:

$Length = r\sqrt 2$

So:

$V_1 = (r\sqrt2)^3$

$V_1 = (2\sqrt2)r^3$

Next, the volume of the cylinder

$Volume=\pi r^2h$

So, we have:

$V_2 = \pi r^2 (2r + 4)$

The fraction (n) occupied by the cube is:

$n = \frac{V_1}{V_2}$

So, we have:

$n = \frac{(2\sqrt2)r^3}{\pi r^2(2r + 4)}$

Factor out 2 in the denominator

$n = \frac{(2\sqrt2)r^3}{2\pi r^2(r + 2)}$

Cancel out common terms

$n = \frac{r\sqrt2}{\pi(r + 2)}$

<em>Hence, the fraction occupied by the cube is: </em> $\frac{r\sqrt2}{\pi(r + 2)}$ <em />

Read more about volumes at:

brainly.com/question/15861918

6 0

3 years ago

Use the change of base formula to find log14, 18. Round to the nearest hundredth.

marin [14]

Answer:

Solution of the expression is 1.07

Step-by-step explanation:

The given logarithmic expression is $log_{14}18$

Since change of base formula says, $log_{b}(a)=\frac{log_{10}(a)}{log_{10}(b)}$

Therefore, the given expression can written as $\frac{log_{10}(18)}{log_{10}14}$ by using change of base formula.

Now $\frac{log_{10}(18)}{log_{10}(14)}=\frac{1.2253}{1.1461}$

= 1.069

≈ 1.07

Therefore, solution of the expression will be 1.07

3 0

4 years ago

What’s the product of 3x(x² + 4)?

klio [65]

Answer:

3x³ + 12x

Step-by-step explanation:

3x is 3 times x. If we multiply x times x², we get x³. This is because x² can be written as x·x, so if we multiply x by that, we get x·x·x. Since we are multiplying x² by 3x, we get 3x³. Now, we multiply 3x by 4, this gets us 12x. Now, we write it out as 3x³ + 12x.

5 0

3 years ago

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this t

Novay_Z [31]

Seven and six are your answers

3 0

3 years ago

Read 2 more answers