[2] \left(\dfrac{a}{b}\right)^{x-1}=\left(\dfrac{b}{a}\right)^{x-3}, then the value of x is:

Easy Tutorial

For Competitive Exams

Aptitude

TNPSC G4

10th CBSE Maths

$\left(\dfrac{a}{b}\right)^{x-1}=\left(\dfrac{b}{a}\right)^{x-3}$, then the value of x is:

1/2

7/2

Explanation:

Given $\left(\dfrac{a}{b}\right)^{x-1}=\left(\dfrac{b}{a}\right)^{x-3}$

$\Rightarrow \left(\dfrac{a}{b}\right)^{x-1}=\left(\dfrac{a}{b}\right)^{-(x-3)} = \left(\dfrac{a}{b}\right)^{3-x}$

$\Rightarrow$ x - 1 = 3 - x

$\Rightarrow$2x = 4

$\Rightarrow$x = 2.

Additional Questions

If 3^{(x - y)}= 27 and 3^{(x + y)} = 243, then x is equal to:	Answer
If 5^a = 3125, then the value of 5^{(a - 3)} is:	Answer
Given that 10^0.48 = x, 10^0.70 = y and x^z = y² , then the value of z is close to:	Answer
The value of [(10)¹⁵⁰ ÷ (10)¹⁴⁶]	Answer
(256)^0.16 x (256)^0.09 = ?	Answer
If m and n are whole numbers such that mⁿ = 121, the value of (m - 1)^{n + 1} is:	Answer
$\dfrac{1}{1+a^{n-m}}+\dfrac{1}{1+a^{m-n}}=?$	Answer
(17)^3.5 x (17)^? = 17⁸	Answer
(0.04)^-1.5 = ?	Answer
$\left(\dfrac{a}{b}\right)^{x-1}=\left(\dfrac{b}{a}\right)^{x-3}$, then the value of x is:	Answer

Share with Friends