Evaluate the following logarithmic expression
3^5x=27
Convert fractions
243x=27
Take the natural log of both sides
Ln(243x) = Ln(27)
Use a logarithmic identity
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 |
Final Answer
x = 0.6
