Find value of x....ques 7

1.	Find value of x....ques 7
Answer» Given: 4^x-4^(x-1) => (4–1)4^(x-1) => 34^(x-1) =>34^(x-1)=24 (GIVEN) => 4^(x-1)=8 => 2^(2(x-1))=2^3 by EQUATING the powers, 2x-2=3 => 2x=5. x=5/2

Answer»

Given: 4^x-4^(x-1)

=> (4–1)*4^(x-1)

=> 3*4^(x-1)

=>3*4^(x-1)=24 (GIVEN)

=> 4^(x-1)=8

=> 2^(2*(x-1))=2^3

by EQUATING the powers,

2x-2=3

=> 2x=5.

x=5/2

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Find value of x....ques 7

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