log (10x + 5) - log (x - 4) = 2
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Answered by
0
Answer:
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 ] .
Answered by
4
Step-by-step explanation:
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 ] .
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