need help solving this

Question

Consider the following.

200(1.02)6t = 1,100

(a)

Find the exact solution of the exponential equation in terms of logarithms.

t =

(b)

Use a calculator to find an approximation to the solution, rounded to six decimal places.

t =

Answer 1

200(1.02)^6t = 1100

(1.02)^6t = 5.5

ln(1.02)^6t = ln(5.5)

(6t) ln(1.02) = ln(5.5)

t = ln(5.5) / [6 ln(1.02)]