121^x=11
Log both sides:
log121^x=log11
We can use log laws to make:
xlog121=log11
x=log11/log121 =0.4999= 0.5
121x=11
\(\begin{array}{|rcll|} \hline 121^x &=& 11 \quad &|\quad 121 = 11^2 \\ (11^2)^x &=& 11 \quad &|\quad (11^2)^x = 11^{2x}\\ 11^{2x} &=& 11 \\ 11^{2x} &=& 11^1 \\ 2x &=& 1 \\ \mathbf{x} & \mathbf{=} & \mathbf{ \frac12 }\\ \hline \end{array}\)
