4^x-4^x-1=24 find x.
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Hi ,
4^x - 4^ x-1 = 24
4^x - 4^x /4 = 24
Let 4^x = a -----( 1 )
a - a / 4 = 24
( 4a - a ) / 4 = 24
3a / 4 = 24
a = ( 24 × 4 ) / 3
a = 8 × 4
a = 32
Substitute a = 32 in equation ( 1 ) ,
a = 4 ^x
32 = ( 2² ) ^ x
2^5 = 2^2x
5 = 2x
5/2 = x
Therefore ,
x = 5/2
I hope this helps you.
:)
4^x - 4^ x-1 = 24
4^x - 4^x /4 = 24
Let 4^x = a -----( 1 )
a - a / 4 = 24
( 4a - a ) / 4 = 24
3a / 4 = 24
a = ( 24 × 4 ) / 3
a = 8 × 4
a = 32
Substitute a = 32 in equation ( 1 ) ,
a = 4 ^x
32 = ( 2² ) ^ x
2^5 = 2^2x
5 = 2x
5/2 = x
Therefore ,
x = 5/2
I hope this helps you.
:)
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