SOLUTION: 2log x-log x^3 = 4 solve for x how I started the problem log (x^2/X^3)=4 then (x^2/x^3)=10^4

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Question 278259: 2log x-log x^3 = 4
solve for x
how I started the problem
log (x^2/X^3)=4
then
(x^2/x^3)=10^4
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2Fx%5E3=10%5E4
Great start! You've done all the hard work. The rest is just simplify:
1%2Fx=10000
... and solve:
Multiply both sides by x:
1+=+10000x
Divide both sides by 10000:
1%2F10000+=+x

With logarithmic equations you should always check your answers. You must make sure that none of the logarithms end up with a zero or negative argument. A quick visual check of the original equation tells you that 1/10000 will not make the argument of either logarithm zero or negative. So this answer checks.