turkey-yks 2013 Q30

turkey-yks · Other · lys1-math Composite & Inverse Functions Find or Apply an Inverse Function Formula

$$\begin{aligned} & f ( x ) = - \log _ { 2 } x \\ & g ( x ) = \log _ { 10 } x \end{aligned}$$
Given this, what is the value of a that satisfies the equality $\left( \right.$ gof $\left. ^ { - 1 } \right) ( a ) = \ln 2$?
A) $\ln 2$
B) $\frac { \ln 2 } { \ln 10 }$
C) $\frac { \ln 10 } { \ln 2 }$
D) $\ln \left( \frac { 1 } { 10 } \right)$
E) $\ln \left( \frac { 1 } { 2 } \right)$

$$\begin{aligned}
& f ( x ) = - \log _ { 2 } x \\
& g ( x ) = \log _ { 10 } x
\end{aligned}$$

Given this, what is the value of a that satisfies the equality $\left( \right.$ gof $\left. ^ { - 1 } \right) ( a ) = \ln 2$?\\
A) $\ln 2$\\
B) $\frac { \ln 2 } { \ln 10 }$\\
C) $\frac { \ln 10 } { \ln 2 }$\\
D) $\ln \left( \frac { 1 } { 10 } \right)$\\
E) $\ln \left( \frac { 1 } { 2 } \right)$

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