SIMPLIFY INTO SINGLE LOGARITHMIC EXPRESSION WORKSHEET

Condense each expression to a single logarithm.

Problem 1 :

ln 5 + ln 7 + 2 ln 6

Solution

Problem 2 :

4 log₂ 6 + 3 log₂ 7

Solution

Problem 3 :

log₈ x + log₈ y + 6 log₈ z

Solution

Problem 4 :

18 log₉ x - 6 log₉ y

Solution

Problem 5 :

Solution

Prove the following statements.

Problem 6 :

log_√b x = 2 log_b x

Solution

Problem 7 :

Solution

Problem 8 :

Solution