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Q.

How do you solve log 2 (x+2) log 2 (x5)=3  ?

Class:  9

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a

4

b

5

c

6

d

7 

answer is C.

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Detailed Solution

⇒ We have  log 2 (x+2) log 2 (x5)=3  
log 2 (x+2) (x5) =3  
2 3 = (x+2) (x5) 8= (x+2) (x5) 8(x5)=(x+2)  
⇒ 8x – 40 = x + 2
⇒ 8x – x = 2 + 40
⇒ 7x = 42
x= 42 7  
⇒ x = 6

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