Question

Hi there I have a ? I'm stuck on! Solve the following equation for all solutions 3x^-5=9375
answers accurate to 3 decimal places!
(lesser)solution =
(greater) solution =

Answer 1

this?\[\Large 3 x^{-5} = 9375\]have you learned much about complex numbers...?

Answer 2

yea that's the equation! no not really! its new to me!

Answer 3

If you haven't learned imaginary numbers, then you'll only be able to find one solution.

Bring the negative exponent in the denominator to make it positive \[\Large \frac{ 3 }{x^5 } = 9375\]can you try solving for x?

Answer 4

would you add 1/-5 to each side?

Answer 5

No... Multiply both sides by x^5.

Answer 6

meaning raising both sides

Answer 7

oh ok!

Answer 8

then do I root those?

Answer 9

I don't know what you did to get those... we're not putting both sides to the power of anything.

Multiply both sides by x^5 \[\Large \frac{ 3 }{x^5 } *x^5= 9375x^5\] becomes \[\Large 3 = 9375 x^5\]

Answer 10

Then divide both sides by 9375.

Answer 11

It doesn't make any sense to me when i divide both sides by 9375 i'm lost

Answer 12

i thought I would have to divide by 3

Answer 13

You need to get x^5 alone. Dividing by 3 won't do that.

Answer 14

so cancel out
3=x^5

Answer 15

i get 1/3125

Answer 16

1/3125 = x^5

now you have to take the 5th root of both sides (ie take the fifth root of 1/3125 and that'll be your answer)

Answer 17

which is 3.355 to 3 place decimal

Answer 18

but how do I figure out lesser solution and greater solution

Answer 19

There's only one real solution. The others are all complex numbers...

Answer 20

And the fifth root of 1/3125 is 1/5.

Answer 21

which is 3.355 right

Answer 22

to the 3 place decimal

Answer 23

No... it's 0.2.

Answer 24

oh ok i see it now!

Answer 25

makes perfect sense now! thx so much I appreciate it