Im having trouble understanding this problems, I need help figuring this out!

1. Solve the equation. Give your answer correct to 3 decimal places.

76 = 100 100^e0.07x

2.

Solve the equation. Give your answer correct to 3 decimal places.

60= 65/1+5^-0.3x

3. Solve the equation.

ln x ln 7 = 10

4. Solve the equation

4 + log(8x) = 25 2 log x

5. Solve the equation. Give your answer correct to 3 decimal places.

ln(x + 2) + ln(x) = ln(x + 12)

6. The purchasing power P (in dollars) of an annual amount of A dollars after t years of 5% inflation decays according to the following formula.

P = Ae^0.05t (a) How long will it be before a pension of $75,000 per year has a purchasing power of $40,000? (Round your answer to one decimal place.)

(b) How much pension A would be needed so that the purchasing power P is $60,000 after 18 years? (Round your answer to the nearest dollar.)

7. The demand function for a certain commodity is given by p = 100e^q/2. (p is the price per unit and q is the number of units.)

(a) At what price per unit will the quantity demanded equal 4 units? (Round your answer to the nearest cent.)