Solve 6^(2x) = 250

Question

Solve
`6^(2x) = 250`

Answer 1

`6 {}^(2x) = 250`
Take the logarithm of both sides of the equation.


`log_(6)(6 {}^(2x) ) = log_(6)(250)`
Using
`log_(a)(a {}^(x) ) = x` simplify the expression.


`2x = log_(6)(250)`
Divide both sides of the equation by 2.


`2x / 2 = log_(6)(250) / 2`
Any expression divided by itself equals 1. And write the division as a fraction.


`x = ( log_(6)(250) )/(2)`

`x = 1.54079`