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

A student wants to report on the number of books her friends read each week. The collected data are below: 0 24 1 4 5 2 5 4 Whic

barxatty [35]

Median: middle number

Mean: average

How to calculate the median:

1) line the numbers in order from least to greatest

0 1 2 4 5 24

(you do not need to write all the fours or fives, one four or five is enough to represent it)

2) Next, take one number off each end at a time until you have one number in the middle left (if there are two numbers left in the middle, add them together, than divide them by two)

3) The median is 4 becuase it is in the middle.

How to calculate the mean:

1) Add all the numbers together

0+24+1+4+5+2+5+4 = 45

2) Now we divide 45 by 8 because there are eight numbers in the list

45/8 = 5

3) The mean is 5.

Answer: Median = 4, Mean = 5

live with love, live with Jesus

4 0

3 years ago

Read 2 more answers

A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st

shutvik [7]

Answer:

Equation of movement y(t)

$y(t)=sin(10t-\pi/2)$

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

$A=1\,inch$

The period depends on the mass and the spring constant.

The formula for the period is:

$T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s$

The model y(t) for the movement of the mass-spring system is

$y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)$

8 0

3 years ago

Find the taylor polynomial t3(x) for the function f centered at the number

Vlad [161]

$e^{-3x}=\displaystyle\sum_{n=0}^\infty\frac{(-3x)^n}{n!}=1-3x+9x^2+\cdots$
$\sin2x=\displaystyle\sum_{n=0}^\infty\frac{(-1)^n(2x)^{2n+1}}{(2n+1)!}=2x-\dfrac{4x^3}3+\cdots$

$e^{-3x}\sin2x=\left(1-3x+9x^2+\cdots\right)\left(2x-\dfrac{4x^3}3+\cdots\right)$
$\approx T_3(x)=(1-3x+9x^2)\left(2x-\dfrac{4x^3}3\right)$
$T_3(x)=2x-6x^2+\left(18-\dfrac43\right)x^3$
$T_3(x)=2x-6x^2+\dfrac{50}3x^3$

5 0

2 years ago

What would the answer be ? Thank You!!

Bogdan [553]

Answer:

2.33 = BC

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan B = AC / BC

tan 25 = AC / 5

Multiply each side by 5

5 tan 25 = BC

2.331538291 = BC

To the nearest hundredth

2.33 = BC

3 0

3 years ago

There are three options for fans purchasing a band's new release CD. They can purchase the CD, a premium CD bundle, or a deluxe

san4es73 [151]

Answer:

A lot of work, but CD=$15, Premium=$35, and Deluxe=$85

4 0

3 years ago