Having a problem with a decimal exponent; For example (x/400)^.54.

[Macrossmonkey]

So I am working an equation where I need to solve an unknown variable with a decimal exponent. For example (x/400)^.54. I need to solve for x. So the total equation reads 10=75.2(x/400)^.54. I have tried switching the exponent to a fraction, logs, etc, but I am not getting it. Any help would be great.

 

[Deleted member 4993]

So I am working an equation where I need to solve an unknown variable with a decimal exponent. For example (x/400)^.54. I need to solve for x. So the total equation reads 10=75.2(x/400)^.54. I have tried switching the exponent to a fraction, logs, etc, but I am not getting it. Any help would be great.

10=75.2(x/400)^.54

10/75.2 = (x/400)^.54

[10/75.2]^(1/0.54) = (x/400)

and continue.....

 

[Macrossmonkey]

Thanks guys! Spot on. Very much appreciated!