Solve for the unknown variable. (\sqrt{5})^x=125

rocedwrp

rocedwrp

Answered question

2021-09-07

Solve for the unknown variable.
(5)x=125

Answer & Explanation

Faiza Fuller

Faiza Fuller

Skilled2021-09-08Added 108 answers

Given:
(5)x=125
Explanation:
(5)x=125
Apply radical rule: a=a12
(512)x=125
Apply exponent rule: (ab)c=abc
(5x2)=125
Take log on both sides,
log(5x2)=log(125)
(x2)log(5)=log(125)
x2=log(125)log(5)
Apply log rule: logc(125)logc(5)
x2=log5(125)
x2=log5(53)
Apply log rule: loga(ax)=a
x2=3
x=2(3)
x=6

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