InkBlog

3^5x=27

Image to Crop

Enter natural log statement

Solve 35x=27

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

ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVfqLKivsKhZamgoHS%2Bfn%2BEbnxusFVokXOD

Martina Birk

Update: 2024-07-29