ADVANCED EXERCISES-Logarithms

(2) Solve each equation. In part d., solve for t.

1. ln(0.8x + 0.03) = 0.01
   
   
2. 0.25P₀ = P₀e^-0.4t (P₀ is a non-zero constant.)
   
   
3. log₂(log₃x) = 4
   
   
4. A = P(1 + r/n)^nt

HINT:
(a) Write the statement in exponential form. Remember that ln = log_e.

(b) Divide both sides by P₀, then take natural logarithms.

(c) Write in exponential form, twice.

(d) Divide by P, take ln or log of both sides.