Question

2 power 12 - 2 power 10 is equal to 2 power x x 3
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Answer 1

Answer:

Required value of x is 10.

Step-by-step explanation:

Here,

= > 2^( 12 ) - 2^( 10 ) = 2^( x ) × 3

= > 2^( 10 + 2 ) - 2^( 10 ) = 2^( x ) × 3

= > { 2^( 10 ) x 2^( 2 ) }- 2^( 10 ) = 2^( x ) × 3

= > 2^( 10 )[ 2^( 2 ) - 1 ] = 2^( x ) × 3

= > 2^( 10 ){ 4 - 1 } = 2^( 10 ) × 3

= > 2^( 10 ) × 3 = 2^( 10 ) x 3

= > 2^( 10 ) = 2^( x )

If bases are same, powers are equal. { in these cases }

= > x = 10

Hence the required value of x is 10.