(a/b)^x−2=(b/a)^x−7. What is the value of x ?
A.1.5
B.4.5
C.7.5
D.9.5
Answer and Feedback
Answer:B
Feedback:(a/b)^x−2=(b/a)^x−7
(a/b)^x−2=(a/b)^-x−7
⇒x−2=−(x−7)
⇒x−2=−(x−7)
⇒x−2=−x+7
2x=9
x=9/2=4.5
(a/b)^x−2=(a/b)^-x−7
⇒x−2=−(x−7)
⇒x−2=−(x−7)
⇒x−2=−x+7
2x=9
x=9/2=4.5