Question

If 7^x-1=49 and4^y+2=64. find the value of y/x-x/y

Answer 1

Hi ,

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We know the exponential law

1 ) If a^m = a^ n then m = n

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7^( x - 1 ) = 49

7^ ( x - 1 ) = 7²

x - 1 = 2

x = 2 + 1

x = 3 ------( 1 )

4 ^( y + 2 ) = 64

4^ ( y + 2 ) = 4³

y + 2 = 3

y = 3 - 2

y = 1 ------( 2 )

Now ,

y/x - x / y = 1/3 - 3/1

= ( 1 - 9 ) / 3

= -8/3

I hope this helps you.

:)