SOLUTION: What positive number is 3 times its cube root?

SOLUTION: What positive number is 3 times its cube root?

Algebra.Com

Question 572920: What positive number is 3 times its cube root?
Answer by TutorDelphia(193) (Show Source): You can put this solution on YOUR website!
You need to be pretty good with exponents to do this problem.
First let's write the problem in equation form:
.
.
.

.
.
Divide both sides by
.
.
.

use the exponent power rule to 1-1/3=2/3
.
.
.

Take both sides to the 3/2 power
.
.
.

simplify this:
.
.
.

And to check, =~5.196 and =~5.196
because both equal
RELATED QUESTIONS
For what positive numbers will the cube of a number exceed 7 times its square? (answered by stanbon)

The sum of a positive real number and six times its reciprocal is equal to its cube.... (answered by mananth)

What positive number exceeds 3 times its reciprocal by... (answered by rothauserc)

what is the product of square root of 3 times cube root of... (answered by Alan3354)

1.what is the cubed root of 7 divied by the cube root of 3? 2.What is the cube root of (answered by solver91311)

What is the cube root of -9x^2y^4 times cube root of 12xy (answered by fractalier)

What is the log (base root 3) cube root... (answered by Alan3354)

1.what is the simplest form cube root of -49 times cube root of 7x^2? 2.what is the... (answered by lwsshak3)

1. What positive number exceeds 3 times its reciprocal by 2? Show clear solution... (answered by ikleyn)