All categories

3 years ago

If Logx (1 / 8) = - 3 / 2, then x is equal to

Mathematics

1 answer:

snow_tiger [21]3 years ago

8 0

Answer:

Let's solve!

Step-by-step explanation:

$logx^{\frac{1}{8} } = -\frac{3}{2}$

$then$

$10^{-\frac{3}{2}} = x^{\frac{1}{8} }$

$(10^{-\frac{3}{2} })^{8} = (x^{\frac{1}{8} })^{8}$

$x = 10^{3*4} = 10^{-12}$

$x= 10^{-12}$

If the equation looks like this, then it has the solution

$x= 10^{-12}$

Another answer is

√x = 2 or x = 4

I hope this helps!

For more help:

brainly.com/question/9719370

brainly.com/question/7126917

brainly.com/question/3505855

You might be interested in

Kendra earns $70 per week mowing lawns. She saves 60% of the money she earns each week. How many weeks will it take Kendra to sa

katrin [286]

Answer:

5 weeks

Step-by-step explanation:

Let's find how much money she saves a week by multiplying the decimal form of 60% and $70.

To get the decimal form of a percent you have to move the decimal to the left twice, like this: 60 ---> .60

Now that we have the decimal form of the percent we can multiply it by the 70 to find how much she saves a week:

(70)(.6) = 42

Therefore, Kendra saves $42 each week.

To find how many weeks it will take Kendra to buy the game system you divide $210 by the $42. Like this:

(210)/(42) = 5

All in all, it will take Kendra 5 weeks to save enough money to buy a game system that costs $210.

I hope this helps!!

- Kay :)

4 0

2 years ago

Read 2 more answers

PLZZZZZZ DONT SCROLLL HELP A SOUL OUT

nydimaria [60]

Answer:

15 units

Step-by-step explanation:

K(8, 6) and J(-4, -3)

Distance between 2 points

$= \sqrt{(x1 - x2)^{2} + {(y1 - y2)}^{2} }$

Thus using the formula above,

distance between points J and K

$= \sqrt{ {[8- (-4)]}^{2} + {[6- (-3)]}^{2} } \\ = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{225} \\ = 15 \: units$

8 0

2 years ago

Read 2 more answers

14 and 15, please :p explanation would also be appreciated!!

liraira [26]

14. B (4, -2)
15. I am not exactly sure about this one but I would say either A or B.

8 0

2 years ago

When factored completely, the expression p^4-81 is equivalent to what?

Mice21 [21]

Differnce of 2 pefect squares
a^2-b^2=(a-b)(a+b)
(p^2)^2-9^2=(p^2-9)(p^2+9)

p^2-9=(p-3)(p+3)

factored is
(p-3)(p+3)(p^2+9)

4 0

3 years ago

Read 2 more answers

The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 10 + 0.002p3 and that its dem

Radda [10]

Answer: At $21.85, the supply will equal to demand.

Step-by-step explanation:

Since we have given that

Demand function is given by

$D(p) = 50 - 0.04p^2, \text{where p is the price.}$

Supply function is given by

$S(p) = 10 + 0.002p^3$

According to question, we need to find the price for which the supply equals the demand, i.e. Equilibrium price and quantity.

$D(p)=S(p)\\\\50-0.04p^2=10+0.002p^3\\\\50-10=0.002p^3+0.04p^2\\\\40=\frac{2}{1000}p^3+\frac{4}{100}p^2\\\\40=\frac{2}{100}p^2(\frac{1}{10}p+2)\\\\\frac{40\times 100}{2}=p^2(\frac{1p+20}{2})\\\\\mathrm{The\:Newton-Raphson\:method\:uses\:an\:iterative\:process\:to\:approach\:one\:root\:of\:a\:function}\\\\p\approx \:21.85861\dots$

So, at $21.85, the supply will equal to demand.

3 0

3 years ago

Read 2 more answers