2. Express the following logarithms in terms of ln 5 and ln 7.
b. ln 9.8

In Exercises 1–4, solve for t.

2. b. e^(kt) = 10

In Exercises 67–72, you will explore some functions and their inverses together with their derivatives and tangent line approximations at specified points. Perform the following steps using your CAS:

b. Solve the equation y=f(x) for x as a function of y, and name the resulting inverse function g.

67. y= √(3x-2), 2/3 ≤ x ≤ 4, x_0=3

1. Express the following logarithms in terms of ln 2 and ln 3.

b. ln(4/9)

131. Let f(x) = x * e^(−x).

b. Find all inflection points for f.

71. Locate and identify the absolute extreme values of cos(ln x) on [1/2, 2]

In Exercises 1–4, show that each function y=f(x) is a solution of the accompanying differential equation.

2. y' = y²

b. y = -1/(x+3)