in equation y=284.17x^-0.934 how do I solve for x if I know y = 280

Question

On a log(10) log(10) plot  in excel I obtain a formula of Y=284.17x^-0.934

I now want to be able to enter vlaues of Y and obtain computed values of x

How do I convert the formula to solve for x?

Answer 1

284.17*x^-0.934=280

x^-0.934=280/284.17=0.985325685

log(x^-0.934)=log(0.985325685)

-0.934*log(x)=log(0.985......)

log(x)=log(0.985325685) /(-0.934)

=(-6.420195936e-3) /(-0.934)

=+6.873871607e-3

invers log is 10 raesed tu power, so x=10^0.006873871607

x=1.015953594

probablee oenlee 1.016