turkey-yks 2012 Q13

turkey-yks · Other · lys1-math Exponential Functions Exponential Equation Solving
The operation $\Delta$ is defined on the set of real numbers for all real numbers a and b as
$$a \Delta b = a ^ { 2 } + 2 ^ { b }$$
Given that $2 \Delta ( 1 \Delta x ) = 12$, what is x?
A) $\frac { 1 } { 2 }$
B) $\frac { 2 } { 3 }$
C) $\frac { 1 } { 4 }$
D) 1
E) 2
The operation $\Delta$ is defined on the set of real numbers for all real numbers a and b as

$$a \Delta b = a ^ { 2 } + 2 ^ { b }$$

Given that $2 \Delta ( 1 \Delta x ) = 12$, what is x?

A) $\frac { 1 } { 2 }$\\
B) $\frac { 2 } { 3 }$\\
C) $\frac { 1 } { 4 }$\\
D) 1\\
E) 2