All categories

2 years ago

Which shows the first step in the solution to the equation log₂x + log₂(x - 6) = 4?

Mathematics

1 answer:

iren [92.7K]2 years ago

6 0

log was used calculate big numbers before calculators

log is a re-arranged way to show a number with an exponent

example

log₂ 16 = 4 means 2^4 = 16

logx(Z) = y means x^y=Z

log(x-6)/log(2) + log(x)/log(2) = 4

(log(x-6)+ log(x))/log(2) = 4

(log(x-6)+ log(x)) = 4log(2)

(log(x-6)x) = log(16)

x=8

You might be interested in

Question 17 - 3/6 + -3/6 = O-6/14 O -7/8 O 6/24 O 9/14

Akimi4 [234]

The answer is negative 1

5 0

2 years ago

A taxi company charges $3 per ride plus $1.50 fo each mile traveled. Andrea wants to spend no more than $24 on the taxi ride. Ho

andreev551 [17]

The answer would be C because 24-3=21 then you would do 21/1.50=14

6 0

3 years ago

what is the volume of a oblique cylinder with the height of 6 cm and a 4 cm as the radius of its base

JulsSmile [24]

Answer :

301.44 cm³

⠀

Explanation :

We know,

${ \longrightarrow \qquad\pmb {\boldsymbol{ Volume_{(cylinder)} = \pi {r}^{2} h \: }}}$

Where,

r is the radius of the cylinder. Here, the radius is 4 cm

h is the height of the cylinder. Here, height is 6 cm

Here, we will take the value of π as 3.14 approximately .

⠀

Substituting the values in the formula :

⠀

${ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times ({4})^{2} \times 6 \: }}}}}$

⠀

${ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 16\times 6 \: }}}}}$

⠀

${ \longrightarrow \qquad{ \ { \sf{ Volume_{(cylinder)} \it {= 3.14 \times 96 \: }}}}}$

⠀

${ \longrightarrow \qquad{ \ { \it{ \pmb{ Volume_{(cylinder)} {= 301.44 \: }}}}}}$

⠀

Therefore,

The volume of the cylinder is 301.44 cm³ approximately.

6 0

2 years ago

Read 2 more answers

Increase 2850 by 18%

faust18 [17]

3363 it is. That is the answer. The problem would be "2850 + 18%" right. Because that's what I did.

4 0

3 years ago

How many terms are in 10y2-3y+8

Sergio [31]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find how many terms are in $\pmb{10y^2-3y+8}$ .

$\triangle~\fbox{\bf{KEY:}}$

A term is a thing that's added or subtracted.

So let's compute the number of terms in this expression.

The first term is $\pmb{10y^2}$ .

Is anything added or subtracted from 10y²?

Sure! $\pmb{-3y}$ is subtracted from 10y².

Also, 8 is added to -3y.

Thus, this expression has 3 terms.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

4 0

2 years ago