1. ## 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

2. ## Re: Logarithm: Fractional exponents

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?

3. ## Re: Logarithm: Fractional exponents

ohh sorry, my mistake xD That was still 5 square root of 5. Thanks

4. ## Re: Logarithm: Fractional exponents

It's because $\displaystyle \displaystyle \sqrt{5} = 5^{\frac{1}{2}}$, so $\displaystyle \displaystyle 5\sqrt{5} = 5^1 \cdot 5^{\frac{1}{2}} = 5^{1 + \frac{1}{2}} = 5^{\frac{3}{2}}$.