Answer:
x= 2
Step-by-step explanation:
To solve this exponential equation we must apply the log function on both sides of the equation
[tex]11^{2x} = 14,641\\\\log11^{2x} = log(14,641)\\\\2xlog(11) = log(14,641)\\\\x= \frac{log(14,641)}{2log(11)}[/tex]
[tex]x = 2[/tex]
Then x = 2 is the solution to the equation [tex]11^{2x} = 14,641[/tex]
