Question

If log(10x+5)-log(x-4)=2,then x=?

Answer 1

log ( 10x + 5 ) - log ( x - 4 ) = 2
=> log ( 10 x + 5 ) - log ( x - 4 ) = log 100
=> log ( 10 x + 5 ) = log 100 + log ( x - 4 )
=> log ( 10 x + 5 ) = log 100 ( x - 4 )

TAKING ANTI LOGARITHM ON BOTH SIDES ,

=> 10x + 5 = 100 ( x - 4 )
=> 10x + 5 = 100x - 400
=> 405 = 90 x
=> x = 4.5 [ Answer ] .

Hope it helps !!

Answer 2

Answer:

This is your question' s answer .

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thanks