turkey-yks 2015 Q29

turkey-yks · Other · lys1-math Laws of Logarithms Solve a Logarithmic Equation
$\log _ { 4 } x$ and $\log _ { 4 } \left( x ^ { 2 } \right)$ are consecutive two positive even integers.
Accordingly, what is the value of $\log _ { x } 4$?
A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 1 } { 16 }$
D) 1
E) 2
$\log _ { 4 } x$ and $\log _ { 4 } \left( x ^ { 2 } \right)$ are consecutive two positive even integers.

Accordingly, what is the value of $\log _ { x } 4$?\\
A) $\frac { 1 } { 2 }$\\
B) $\frac { 1 } { 4 }$\\
C) $\frac { 1 } { 16 }$\\
D) 1\\
E) 2