Each term has a common base. This is base 10
We would apply the rule of logarithm which is expressed as
log m + log n = log(m*n)
log m - log n = log(m/n)
klog m = log m^k
By applying the third rule, the expression becomes
log x^2 + log y^4 - log c^3
Applying the first and second rule, it becomes
log [(x^2*y^4)/c^3]