Question

If 27^x=9/3^x ,then the value of x is

Answer 1

Answer:

x = 0.5

Step-by-step explanation:

Well, we have in this case a exponent equation

$27^{x} = \frac{9}{3^{x}}$

Factoring 27 = $3^{3}$

Our new equation is:

$3^{3x}=\frac{3^{2}}{3^{x}}$

Applying the property of exponents, on the right we'll have just like that:

$3^{3x} = 3^{2-x}$

now, it's easy to solve this equation. You must solve 3x = 2 - x because the basis of these exponents are equal.

3x = 2 - x

3x + x = 2

4x = 2

x = 1/2 or 0.5