Question

log6(x+7)−log6x=2
Solve for x

Answer 1

loga- logb= log (a/b)

log6 ((x+7)/x)=2
(x+7)/x=36

can you do it from here?

Answer 2

Log6((x+7)/x)=2
is 6^2=x+7/x
is 36=x/x+7/x and x/x=1
36=1+7/x
36-1=1-1+7/x
35=7/x
x=7/35 reduces to x=1/5