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Solve the problem.How long will it take for the population of a certain country to double if its annual growth rate is 4.9%? Round to the nearest year.

Solve the logarithmic equation. log ( 4+ x) – log (x  – 3) = log  2

Solve the problem.The number of bacteria growing in an incubation culture increases with time according to n(t) = 9000(5)t where t is time in days. Find the number of bacteria when t = 0 and t = 4.

Determine the graph of the function.f(x) =  2.548x

Solve the problem. A box contains a radioactive substance.  The number of kilograms, r(t), at time t years is given by r(t) = 2-0.002588t.  How long will it take until only one-half kilogram of the radioactive substance is left in the box?

Solve the equation for x by first rewriting both sides as powers of the same base. 81x = 9

Solve the equation for x by first rewriting both sides as powers of the same base.

Convert to a logarithmic equation. 

Solve the problem.An initial investment of $1000 is appreciated for 5 years in an account that earns 12% interest, compounded annually. Find the amount of money in the account at the end of the period.

Solve the logarithmic equation.log(x – 3) = 1 – log x