Step-by-step explanation:
Using the properties of logarithms, the left side of the equation becomes

while the right hand side becomes

so we end up with

Ok, so the discount is given in a percentage, in this case 10%. The sale price is going to reflect 10% of the original price minus the discount, so...
Sale $ = original$ - original $ x .10
If we use some algebra, we can reorganize the equation to solve for the original price...
Sale $ = original$ - original $ x .10
Sale $ = original$ (1 - .10)
Sale $ = original$ x .90
original$ = sale$/.90
So now we can plug in our values
original price = 50/.90
original price = 55.55555 = $55.55 to the nearest nickel
The answer is 80,000. I learned how to solve this many years ago by finding the number in the problem then simply adding zeros after it in replacement for the rest. Also know as eighty thousand