How do you solve $x^{\frac{5}{8}} = 275$ $x^(5/8)=275$ ?

Question

1977 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-11T12:54:43

Solution: $x \approx 7997.1$ $x~~ 7997.1$

$x^{\frac{5}{8}} = 275$ $x^(5/8)= 275$ . Taking log on both sides we get,

$\frac{5}{8} \cdot log x = log 275 or \frac{5}{8} \cdot log x = log 275 \approx 2.4393$ $5/8 * log x= log 275 or 5/8 * log x= log 275~~2.4393$ or

$log x = 2.4393 \cdot \frac{8}{5} \approx 3.9029$ $log x= 2.4393*8/5~~3.9029$

$:. x= 10^3.9029 ~~7997.1$

Solution: $x~~ 7997.1$ [Ans]

Answer 2 · 2018-07-11T13:30:28

$7997.1" to 1 dec. place"$

$x^(5/8)=root(8)(x^5)=275$

$"raise both sides to the power of 8"$

$x^5=275^8$

$"take the fifth root of both sides"$

$x=root(5)(275^8)=7997.1" to 1 dec. place"$

How do you solve x^(5/8)=275 x58=275x^(5/8)=275 ?