How do you solve 3x=2x1?

1 Answer
Apr 16, 2018

x1.709511290

Explanation:

3x=2x1

Taking logarithms of both sides:

xln(3)=(x1)ln(2)

xln(3)=xln(2)ln(2)

xln(3)xln(2)=ln(2)

Factor:

x(ln(3)ln(2))=ln(2)

x=ln(2)ln(3)ln(2)1.709511290

x1.709511290