Question 207833
For {{{log(5)^(x)-log(5)^(x-20)=1}}}

Take log(5)^x; by logarithm properties, take the x out of the exponent, which is...

x log(5) ;

Now, take log(5)^(x-20); and do the same DISTRIBUTIVE property of log by taking...


(x-20) log 5;  now distribute the log 5 for x and 20; this then cleans up to be...

xlog5 - 20log5.

Your equation should come out to be  xlog5 - xlog5 -20log5 =1.

But, look closely;  XLOG5 - XLOG5= 0; so x doesn;t have an answer as a variable.

Therfore, this equation is the EMPTY SET (undefined).

Try the next one in the same manner, and e-mail me if you need any help.

Thanks,

dlam5 :)