Question

Easy Maths Questions​

Answer 1

Answer:

c(2)

Step-by-step explanation:

(a/b)^x-1=(b/a)^x-3

(a/b)^x-1=(a/b)^-x+3

x-1=-x+3

2x=4

x=2

Answer 2

$\large{\orange{\sf{\underline{Given:-}}}}$

${( \frac{a}{b}) }^{x - 1} = { (\frac{b}{a} )}^{x - 3}$

$\large{\blue{\sf{\underline{To\:find:-}}}}$

The value of x

$\large{\green{\sf{\underline{Answer:-}}}}$

${( \frac{a}{b}) }^{x - 1} = { (\frac{b}{a} )}^{x - 3}$

• We know that ${( \frac{p}{q} )}^{z} = {( \frac{p}{q} )}^{ - z}$

⟶ ${( \frac{a}{b} )}^{x - 1} = {( \frac{a}{b} )}^{ - (x - 3)}$

$\sf{Bases\:are\:same.}$

$\sf{So \:powers \: will\: also\: be \:same.}$

$\pink{\sf{ x\: -\: 1\: =\: -(x\: -\: 3)}}$

$\sf{⟶ \:x \:-\: 1\: =\: -\: x\: +\: 3}$

$\sf{⟶ \:x \:+\: x \:=\: 3\: +\: 1}$

$\sf{⟶ \:2x\: =\: 4}$

$\sf{⟶\: x\: =\: 4/2}$

⟶$\sf{\huge{\red{\boxed{\boxed{ x\: = \:2}}}}}$