Question

Solve for x in terms of k.

log base 5 of x - log base 5 of (x+10) = log base 5 of k

Answer 1

log5(x)-log5(x+10) = log5(k)
log5(x/x+10) = log5(k)
x/(x+10) = k
x=k(x+10)
x=kx+10k
x(1-k)=10k
x=10k/(1-k)

Answer 2

how did you get the second to last step?

where its x(1-k)=10k

Answer 3

x=kx+10k
group like terms i.e. terms with x
x-kx=10k
x(1-k)=10k
x=10k/(1-k)

Answer 4

you went through the problem faster then i could process it in my head. thank you.