# Logarithm: Fractional exponents

• Mar 19th 2013, 10:43 PM
KerkLu
Logarithm: Fractional exponents
1. x2/3=4 //Really dont know T_T

2. 5x=square root of 5
~ 5x= 5 * 51/2
~ 5x = 53/2 //How did 3/2 happen? - .-

I dont know how to solve the ff fractional fractional exponents. please explain to me step by step. T_T
• Mar 19th 2013, 11:01 PM
Prove It
Re: Logarithm: Fractional exponents
Quote:

Originally Posted by KerkLu
1. x2/3=4 //Really dont know T_T

2. 5x=square root of 5
~ 5x= 5 * 51/2
~ 5x = 53/2 //How did 3/2 happen? - .-

I dont know how to solve the ff fractional fractional exponents. please explain to me step by step. T_T

First of all, in question 2, you can not turn $\displaystyle \displaystyle \sqrt{5}$ into $\displaystyle \displaystyle 5\sqrt{5}$. Are you sure you wrote down the question properly?
• Mar 19th 2013, 11:06 PM
KerkLu
Re: Logarithm: Fractional exponents
ohh sorry, my mistake xD That was still 5 square root of 5. Thanks :)
• Mar 19th 2013, 11:13 PM
Prove It
Re: Logarithm: Fractional exponents
It's because $\displaystyle \displaystyle \sqrt{5} = 5^{\frac{1}{2}}$, so $\displaystyle \displaystyle 5\sqrt{5} = 5^1 \cdot 5^{\frac{1}{2}} = 5^{1 + \frac{1}{2}} = 5^{\frac{3}{2}}$.
• Mar 19th 2013, 11:28 PM
KerkLu
Re: Logarithm: Fractional exponents