SOLUTION: Solve the equation without using a calculator. (Enter your answers as a comma-separated list.) log(x^3) = (log x)^2

Question 1156475: Solve the equation without using a calculator. (Enter your answers as a comma-separated list.)
log(x^3) = (log x)^2
Answer by Shin123(626) (Show Source): You can put this solution on YOUR website!
Since , the equation turns into . Letting y=log(x) gets . Moving everything to one side gives . Factoring gives . So y=0 or y=3. If y=0, then x=1. If y=3, the answer depends on what base you are using. Assuming a base of 10, x=1000. So the solution is (1,1000). If the base is some arbitrary number n, then the answer will be (1,n³).
RELATED QUESTIONS
Solve the equation. (Enter your answers as a comma-separated list. If there is no... (answered by Fombitz,rothauserc)

Solve the equation. (Enter your answers as a comma-separated list. If there is no... (answered by Alan3354)

Solve the quadratic equation by using the quadratic formula. (Enter your answers as a... (answered by Edwin McCravy)

Algebraically solve log(9x + 4) = 5 + log(2x − 6) for x. (Enter your answers as a... (answered by MathLover1,ikleyn,MathTherapy)

Solve the equation. (Enter your answers as a comma-separated list.) 2−50x = (0.5)x (answered by ewatrrr)

Solve the equation. (Enter your answers as a comma-separated list. If there is no... (answered by Alan3354)

Solve the equation. (Enter your answers as a comma-separated list. Simplify your answers... (answered by addingup)

Either factor or use the quadratic formula to solve the given equation. (Enter your... (answered by Theo)

Solve the equation. (Enter your answers as a comma-separated list. Simplify your answers... (answered by MathLover1)