3^5x=27

Enter natural log statement

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

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