Question

How do you solve `3^x=500`?

Answer 1

`x = frac{log(500)}{log(3)}`

Explanation:

First, take the `log` of both sides of the equation to get:
`log(3^{x}) = log(500)`

Then use the logarithmic power property to eliminate the exponent:
`xlog(3) = log(500)`

Finally, divide both sides of the equation by `log(3)`:
`x = frac{log(500)}{log(3)}`