log(x-73)+log(x-88)+2

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- Jun 29th 2008, 09:38 PMkarleewilOne more logarithm equation ><
log(x-73)+log(x-88)+2

- Jun 29th 2008, 09:48 PMnikhilCheck it out
log(x-73)+log(x-88)=2

2=log 100 (base is 10)

log(x-73)+log(x-88)=log100

as loga+logb=logab therfor

log(x-73)(x-88)=log100

or (x-73)(x-88)=100

solving them we get

x=93 and x=64

we ignore 64 as its out of domain so the final answer is x=93