Question 1072598
1:


log(sqrt(5),x)=6
{{{log(sqrt(5),x)=6}}}


{{{(sqrt(5))^6=x}}}


{{{x=(5^(1/2))^6}}}


{{{x=5^(6/2)}}}


{{{x=5^3}}}


x=125




2:

{{{log(3,x)+1+log(3,(x+6))=2}}}


{{{log(3,x)+log(3,(x+6))=2-1=1}}}


{{{log(3,(x(x+6)))=1}}}


Exponential Form:  {{{3^1=x(x+6)}}}


{{{x(x+6)=3}}}, and you can do the rest.