#A × B^x = C/D^x-2# solve for x in log form ?

1 Answer

#x= (-log(a)-log(2)+log(c))/(log(b)+log(d))#

Explanation:

first, we need to log both sides.

#log(a) + xlog(b) = log(c)-xlog(d) - log(2)#

isolate x

#xlog(b)+xlog(d)=-log(a)-log(2)+log(c)#
#x(log(b)+log(d))=-log(a)=log(2)+log(c)#

#x = (-log(a)-log(2)+log(c))/(log(b)+log(d))#