x^5=7

Question

+5

683

2

x^5=7

Guest Nov 27, 2015

+26397

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Best Answer

x^5=7

$x^5=7 \\ x = \sqrt[5]{7}\\ x = 1.47577316159$

heureka Nov 27, 2015

heureka · Answer 1 · 2015-11-27T12:25:22

x^5=7

$x^5=7 \\ x = \sqrt[5]{7}\\ x = 1.47577316159$

Guest · Answer 2 · 2015-11-27T01:24:10

x⁵ = 7

Taking log both sides: (ln = log_e)

ln x⁵ = ln 7 (ln 7 = 1.94591)

5 ln x = 1.94591 (ln x^y= y ln x)

ln x = 1.94591

5

ln x = 0.389182

Taking antilog:

x = e^0.389182

x = 1.475773162