if 3^x-3^x-1=54 find x
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Answered by
0
Answer:
by my thinking there is a little fault in your question
Answered by
7
Answer:
4
Step-by-step explanation:
= > 3^( x ) - 3^( x - 1 ) = 54
= > 3^( x ) - 3^( x ) 3^( - 1 ) = 54
= > 3^( x )[ 1 - 3^( - 1 ) ] = 54
= > 3^( x ) [ 1 - 1 / 3 ] = 54
= > 3^( x )( 3 - 1 ) / 3 [ = 54
= > 3^( x ) ( 2 / 3 ) = 54
= > 3^( x ) = 54( 3 / 2 )
= > 3^( x ) = 81
= > 3^( x ) = 3 × 3 × 3 × 3
= > 3^( x ) = 3^( 4 )
Comparing RHS and LHS,
= > x = 4
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