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slava [35]
3 years ago
5

What is the value of x in the equation log(x+2) - log(x-1) = log 2​

Mathematics
1 answer:
pentagon [3]3 years ago
5 0

Step-by-step explanation:

log(x+2)-log(x-1)=log2

log(x+2)/(x-1)=log2

=> (x+2)=2(x-1)

=>x+2 =2x-2

=> x=4

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Simplify n^4 divided by n1/2
agasfer [191]

Given:

Consider the expression is

\dfrac{n^4}{n^{\frac{1}{2}}}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{n^4}{n^{\frac{1}{2}}}

Using the properties of exponents, we get

=n^{4-\frac{1}{2}}               \left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]

=n^{\frac{8-1}{2}}

=n^{\frac{7}{2}}

Therefore, the simplified form of the given expression is n^{\frac{7}{2}}.

5 0
3 years ago
Thirteen percent of the profits from Kendall’s business are donated to charities.write and solve an equation to find out how muc
pychu [463]

The amount given to charity from Kendall’s profit is $168.0146

Given:

  • Kendall’s profit = $1292.42
  • Percentage given to charity = 13%

<h3>How to find percentage</h3>

Amount given to charity = Percentage given to charity × Kendall’s profit

= 13% of $1292.42

= 13/100 × 1292.42

= 0.13 × 1292.42

= $168.0146

Therefore, the amount given to charity from Kendall’s profit is $168.0146

Learn more about percentage:

brainly.com/question/843074

5 0
2 years ago
Verizon charges a $40 sign-up fee and the $60 a month for their new hotspot. T-Mobile
o-na [289]

Step-by-step explanation:

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$70 for one line

$60 for two lines

$45 for three lines

$35 for four lines

Play More Unlimited: 

$80 for one line

$70 for two lines

$55 for three lines

$45 for four lines

Do More Unlimited: 

$80 for one line

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Get More Unlimited: 

$90 for one line

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8 0
3 years ago
Read 2 more answers
The curve given by x=sin(t),y=sin(t+sin(t)) has two tangent lines at the point (x,y)=(0,0). List both of them in order of increa
SOVA2 [1]

Answer:

y = 0

y =2x

Step-by-step explanation:

Given parametric equations:

x (t) = sin (t)

y (t) = sin (t + sin (t))

The slope of the curve at any given point is given by dy / dx we will use chain rule to find dy / dx

(dy / dx) * (dx / dt) = (dy / dt)

(dy / dx) = (dy / dt) / (dx / dt)

Evaluate dx / dt and dy / dt

dx / dt = cos (t)

dy / dt = cos (t + sin (t)) * (1+cos (t))

Hence,

dy / dx = (1+cos(t))*cos(t + sin (t))) / cos (t)

@Given point (x,y) = 0 we evaluate t

0 = sin (t)

t = 0 , pi

Input two values of t and compute dy / dx

@ t = 0

dy / dx = (1 + cos (0))*cos (0 + sin (0))) / cos (0)

dy / dx = (1+1)*(1) / (1) = 2 @ t = 0

@t = pi

dy / dx = ( 1 + cos (pi))* cos (pi + sin (pi)) / cos (pi)

dy / dx = (1-1) * (-1) / (-1) = 0 @ t = pi

The corresponding gradients are 0 and 2 in increasing order and their respective equations are:

y = 2x

y = 0

5 0
3 years ago
Can someone please give me the answer.
statuscvo [17]

Answer:

<em>x = 9</em>

Step-by-step explanation:

Vertical angles are congruent, so their measures are equal.

4x + 6 = 7x - 21

Subtract 7x from both sides.

-3x + 6 = -21

Subtract 6 from both sides.

-3x = -27

Divide both sides by -3.

x = 9

8 0
3 years ago
Read 2 more answers
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