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

Question

1694 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-11T12:54:43

Solution: # x~~ 7997.1#

# x^(5/8)= 275#. Taking log on both sides we get,

# 5/8 * log x= log 275 or 5/8 * log x= log 275~~2.4393# or

#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"#