If log10(x^{2}y^{3})=7 and log10 (x/y)=1 , then x=__ and y= __

Step-by-step explanation:

we are given

Firstly, we will get rid of log

so, we will take exponent over 10 on both sides

now, we can simplify it

now, we can solve for x

we are given

Firstly, we will get rid of log

so, we will take exponent of 10 on both sides

now, we can plug back x from first equation

now, we can solve for y

now, we can take radical 5

now, we can find x

So, solution is

$12. that is my answer.