Question

Solve the equation 11^2x=14, 641

Answer 1

The value of X = 2

Explanation:

See the attached figure

Answer 2

x= 2

Explanation:

To solve this exponential equation we must apply the log function on both sides of the equation

`11^(2x) = 14,641\\\\log11^(2x) = log(14,641)\\\\2xlog(11) = log(14,641)\\\\x= (log(14,641))/(2log(11))`

`x = 2`

Then x = 2 is the solution to the equation
`11^(2x) = 14,641`