What is the value of x if 4^(x-1) - 3*2^(x-1) +2=0
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4^(x -1) -3.2^(x -1) + 2= 0
{2^(x -1) }² -3.2^(x -1) + 2 = 0
let 2^( x -1) = P
P² -3P + 2 = 0
P² -2P - P +2 =0
P( P -2) -( P-2) =0
( P -1)(P-2) =0
P = 1 and 2
2^( x -1) = 2^1 and 2^( x -1) = 1 =2^0
x -1 = 1 and x - 1 =0
x =2 , 1
{2^(x -1) }² -3.2^(x -1) + 2 = 0
let 2^( x -1) = P
P² -3P + 2 = 0
P² -2P - P +2 =0
P( P -2) -( P-2) =0
( P -1)(P-2) =0
P = 1 and 2
2^( x -1) = 2^1 and 2^( x -1) = 1 =2^0
x -1 = 1 and x - 1 =0
x =2 , 1
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