Converting exponents, we have 243x=27
We need to solve for x, therefore, in order to remove it from the power portion, we take the natural log of both sides
Ln(243x) = Ln(27)
There exists a logarithmic identity which states: Ln(an) = n * Ln(a)
Using that identity, we have n = and a = 243, so our equation becomes:
Ln(243) = 3.2958368660043
5.4930614433405x = 3.2958368660043
Divide each side of the equation by 5.4930614433405
| 5.4930614433405x | |
| 5.4930614433405 |
| = |
| 3.2958368660043 |
| 5.4930614433405 |
x = 0.6
