find x if 13 ^ 2 x minus 1 into 169 is equal to 13 ^ 5
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Given 13^( 2x - 1 ) × 169 = 13^5
=> 13^( 2x - 1 ) × 13² = 13^5
=> 13^ ( 2x - 1 + 2 ) = 13^5
=> 2x - 1 + 2 = 5
[ Since , if a^m = a^n then m = n ]
=> 2x + 1 = 5
=> 2x = 5 - 1
=> 2x = 4
=> x = 4/2
Therefore ,
x = 2
••••
=> 13^( 2x - 1 ) × 13² = 13^5
=> 13^ ( 2x - 1 + 2 ) = 13^5
=> 2x - 1 + 2 = 5
[ Since , if a^m = a^n then m = n ]
=> 2x + 1 = 5
=> 2x = 5 - 1
=> 2x = 4
=> x = 4/2
Therefore ,
x = 2
••••
bhavyasree45:
thanks for your help
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6
Heya, Here is your answer in the attachment
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