log_x1000=3

log₈(4x+4)=2

log₈₁x = 3/4

 $\log\left(\frac{m^3}{n}\right)$  

Solve the following for 'x';

log₆(3x - 2) = log₆(5x - 8)

Suppose you deposit $1000 in an account paying 4% annual interest, compounded continuously. Use  $A\ =\ Pe^{rt}$  to find the balance after 10 years.

FOOD PRICES At a wholesale food distribution center, the price of sugar has increased 6.3% annually since 1980. Suppose sugar cost $0.43 per pound in 1980 and this growth continues. What will a pound of sugar cost in 2017? Use y = a(1 + r)^t and round to the nearest cent.

CHEMISTRY A particular compound decays according to the equation y = ae^–0.0736t, where t is in days. Find the half-life of this compound.