Question
Which of the following equations uses the inverse property of logarithms correctly? A) ㏒∨4(11∧4)=11 B) 4∧㏒∨4(11)=11 C) 4∧㏒∨11(11)=11 D) ㏒∨4(4∧11)=11 E) 11∧㏒∨4(4)=4 F) 4∧㏒∨11(4)=11
Answer
B
- Identify the inverse property of logarithms, which states that log base a of a to the x equals x.
- Use the above property to check each equation.
- Only option (B) follows the inverse property of logarithms, since 4^log base 4 of 11 is equal to 11.