SOLVING MULTI STEP LOGARITHMIC EQUATIONS WORKSHEET

Solve the following logarithmic equations.

Problem 1 :

2 logx = log 2 + log (3x - 4)

Solution

Problem 2 :

log x + log(x - 1) = log(4x)

Solution

Problem 3 :

log₃ (x + 25) - log₃ (x - 1) = 3

Solution

Problem 4 :

log₉ (x - 5) + log₉ (x + 3) = 1

Solution

Problem 5 :

log x + log (x - 3) = 1

Solution

Problem 6 :

log₂ (x - 2) + log₂ (x + 1) = 2

Solution

Problem 7 :

ln x = -3

Solution

Problem 8 :

log(3x - 2) = 2

Solution