Algebra question with x in the exponent

Question

85 = 219.37 * 10^-0.155x

 

Question: Solve x.

Answer 1

85=219.37*10^(-0.155x)

divide both sides by 219.37

0.3874732=10^(-0.155x)

take the log(base 10) on both sides

log(10)(0.3874732)=log(10)(10)^(-0.155x)

log(10)(0.3874732)=-0.155x

now find the log of 0.3874732 which is...

-0.41175833056=-0.155x

divide both sides by -0.155

x=2.656505355 (round as needed)