Question

if x/x^1.5= 8x^-1 , and x>0, find x

Answer 1

Sol:

x/x^1.5=8x^-1
⇒x^-0.5=8/x
⇒1/√x=8/x
⇒√x=8.
⇒x=64.(Ans.)
All the Best!!!

Answer 2

The value of x is 64

Given:

$\frac{x}{x^{1.5}}=8 x^{-1}$

To find:

The value of x

Solution:

The given equation to find the value of x is given below,

$\frac {x} {x^{1.5} } = 8 \times x^{-1}$

Manipulating the powers of the x, we can individualise the x value,

$\Rightarrow x^{-0.5} = \frac {8} {x}$

Since,

$x^{-0.5} = \frac {1} {\sqrt {x} }$

$\Rightarrow \frac {1} {\sqrt {x}} = \frac {8} {x}$

The above equation is written in the “following manner”,

$\Rightarrow \sqrt {x} = 8$

$\Rightarrow x = 64$