Solve the following equation; 3 to the power of x = 50.

Question

I'm completing a revision exercise as test prep and I just cannot get it to work out. Please help...

Answer 1

3^x = 50

ln 3^x = ln 50      take ln of both sides

x ln 3 = ln 50     law of exponents

x(1.1) ≈ 3.91     calculate ln

x ≈ 3.6              divide both sides by 1.1