[tex]6 {}^{2x} = 250[/tex]
Take the logarithm of both sides of the equation.
[tex] log_{6}(6 {}^{2x} ) = log_{6}(250) [/tex]
Using [tex] log_{a}(a {}^{x} ) = x[/tex] simplify the expression.
[tex]2x = log_{6}(250) [/tex]
Divide both sides of the equation by 2.
[tex]2x \div 2 = log_{6}(250) \div 2[/tex]
Any expression divided by itself equals 1. And write the division as a fraction.
[tex]x = \frac{ log_{6}(250) }{2} [/tex]
[tex]x = 1.54079[/tex]
