Solve for the following logarithmic functions:

Use the fact that   log_a b = c means  b = a^c. 

 

(a)  log₃ (2x-1) = 2   means  2x - 1 = 3²,   or  x = (3² + 1)/2  or  x = 5

 

(b)  log_x 16 = 2   means   16 = x²,   so x = 4