Question

Which of the following equations uses the inverse property of logarithms correctly? A) log2(2^4)=4. B) 2^log2(4)=4. C) 2^log4(2)=4. D) log2(4^2)=2 E) 2^log4(4)=4. F) 4^log2(4)=4

Answer 1

Answer:

(A) and (B)

Step-by-step explanation:

The inverse property of Logarithms is

㏒a$(a^x)$ = x or a^loga(x) = x

Using this property we check each option

(A) Log2(2^4) = 4          correct

(B) 2^log2(4) = 4           correct

(C) 2^log 4(2)$\neq$ 4           incorrect ( it equal to $\sqrt{2}$)

(D) log2(4^2)  $\neq$ 2          incorrect  ( it is equal to 4)

(E)  2^log4(4) $\neq$ 4           incorrect ( it is equal to 2)

F) 4^log2(4)$\neq$4               incorrect ( it is equal to 16)