Solve the following equations.
ln(10) − ln(7 − x) = ln(x)

the problem has two solutions x = 5, x = 2

Step-by-step explanation:

Hello! To solve this equation we must find the value of X, this is initially done by applying the logarithm equations, the first one states that the subtraction of two logarithms is equal to their division

ln(10) − ln(7 − x) = ln(x)

now we apply the euler exponential functions in order to eliminate logarithms

Now we apply algebra to find the value of X

finally we find the solutions of the resulting quadratic equation

x1=5

x2=2

the problem has two solutions x = 5, x = 2

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i