Indian Institute of Foreign Trade 2016 Solved Paper

Question : 3 of 123

Marks: +1, -0

Find the value of x which satisfies the following equation

4 \log _ { 7 } ( x - 8 ) = \log _ { 3 } 81

Solution:

{ (\d) } { \Here, } 4 \log _ { 7 } ( x - 8 ) = \log _ { 3 } 81

⇒ 4 \log _ { 7 } ( x - 8 ) = \log _ { 3 } ( 3 ^ { 4 } )

⇒4 \log _ { 7 } ( x - 8 ) = 4

⇒ \log _ { 7 } ( x - 8 ) = 1 ⇒ x - 8 = 7

⇒ x = 15

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