All categories

3 years ago

Use numerals instead of words.

Mathematics

1 answer:

Nataly_w [17]3 years ago

5 0

Answer:

x = 50

Step-by-step explanation:

$log_{10}(2x) = 2$

Use the following property.

$log_{a}(m) = n \\ {a}^{n} = m$

${10}^{2} = 2x \\ 100 = 2x \\ \frac{100}{2} = x \\ 50 = x$

Therefore, the value of x is 50.

Answer Check

Substitute x = 50 in the equation.

$log_{10}(2x) = 2 \\ log_{10}(2(50)) = 2 \\ log_{10}(100) = 2 \\ {10}^{2} = 100 \\ 100 = 100$

The equation is true. Therefore x = 50.

Note

If you don't write logarithm with base, it is classified as common logarithm or base 10.

You might be interested in

PLEASE HELP 8th GRADE MATH QUESTION OVER HERE!!!

patriot [66]

The side AB measures option 2. $\sqrt{20}}$ units long.

Step-by-step explanation:

Step 1:

The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).

The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.

To calculate the distance between two points, we use the formula $d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}.$

where ( $x_{1},y_{1}$ ) are the coordinates of the first point and ( $x_{2},y_{2}$ ) are the coordinates of the second point.

Step 2:

For A (4, 5) and B (2, 1), ( $x_{1},y_{1}$ ) = (4, 5) and ( $x_{2},y_{2}$ ) = (2, 1). Substituting these values in the distance formula, we get

$d=\sqrt{\left(2-4\right)^{2}+\left(1-5}\right)^{2}} = \sqrt{\left(2\right)^{2}+\left(4}\right)^{2}}=\sqrt{20}}.$

So the side AB measures $\sqrt{20}}$ units long which is the second option.

6 0

3 years ago

Which pairs of angles are alternate exterior angles? select yes or no

sasho [114]

A - No

B - No

C - Yes

D - Yes

C and D are alternate exterior angles

8 0

4 years ago

I run a 10km race in 56 minutes.what is my average speed in kilometres per minute

Luden [163]

Hey there! I'm happy to help!

You ran a 10 kilometer race in 56 minutes (good job!). To find how much you ran in 1 minute, you simply divide by 56.

10/56=0.178571428

Therefore, you ran around 0.18 km/minute.

Have a wonderful day! :D

7 0

3 years ago

There are 32 students in a class how many ways can the Class be divided into groups with equal numbers of students are what are

kumpel [21]

They can be divided into

2 groups of 16
4 groups of 8
8 groups of 4
16 groups of 2

3 0

3 years ago

Find the value of x in a triangle. x-20, x+10, x-20

tatyana61 [14]

The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)

Sum of all the interior angles of a triangle is 180°.

So a equation can be made by the given data,

(x-40°) + (x-20°) + (½ x-10°) = 180°

x-40°+x-20°+½x-10° = 180°

2x+½x -60°-10° = 180°

5/2 x - 70° = 180°

5/2 x = 180° + 70°

5/2 x = 250°

x = 250° × 2/5

x = 50° × 2

x = 100°

So the angles are

x-40° = 100°-40° = 60°

x-20° = 100°–20° = 80°

½x-10° = ½(100)° - 10° = 50° -10° = 40°

The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.

60° + 80° + 40° = 100° + 80° = 180°

6 0

3 years ago