Question

if, a=log20 b=log25 find the values of x if 2log(x+1) =2a-b​

Answer 1

Answer:

x = 3

Step-by-step explanation:

Given that

a = log 20 and b = log 25

We also have

2 log( x + 1 ) = 2p - q

⇒ 2log( x + 1 ) = 2 log 20 - log 25

⇒ log( x + 1 )2 = log202 - log 25

⇒ log( x + 1 )2 = log 400 - log 25

⇒ log( x + 1 )2 = log 400/25

⇒ log( x + 1 )2 = log 16

⇒ log( x + 1 )2 = log 42

⇒ x + 1 = 4

⇒ x = 4 - 1

⇒ x = 3.