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प्रश्न
Solve for x : (49)x + 4 = 72 x (343)x + 1
उत्तर
(49)x + 4 = 72 x (343)x + 1
⇒ ( 7 x 7 )x + 4 = 72 ( 7 x 7 x 7 )( x + 1 )
⇒ ( 72 )x + 4 = 72( 73 )( x + 1 )
⇒ 7( 2x + 8 ) = 72 x 73x + 3
⇒ 7( 2x + 8 ) = 73x + 3 + 2
⇒ 7( 2x + 8 ) = 73x + 5
We know that if bases are equal, the powers are equal
⇒ 2x + 8 = 3x + 5
⇒ 3x - 2x = 8 - 5
⇒ x = 3
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