Math, asked by dusaaishwaa688, 3 months ago

if x,y,z are any three consecutive integers,find log (1+xy)​

Attachments:

Answers

Answered by Mihir1001
1

Since x, y and z are consecutive integers.

Therefore,

  • y = x+1
  • z = x+2

Now,

 \quad  \: \sf log_{10}(1 + xy)

 =  \sf log_{10}(1 + x(x + 1))

 =  \sf log_{10}(1 +  {x}^{2}  + x)

 =  \sf log_{10}(1)  +  log_{10}( {x}^{2} )  +  log_{10}(x)

 =  \sf0 + 2 log_{10}(x)  +  log_{10}(x)

 =  \sf3 log_{10}(x)

Similar questions