How do you change $(1/5)^4 = 1/625$ into log form?

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Answer 1 · 2016-07-15T17:09:35

$4ln(5) = ln(625)$

if by log form you are referring to the natural logarithm then you apply the function as such

$ln((1/5)^4) = ln(1/625)$

$4ln(1/5) = ln(1/625)$

$4ln(1) - 4ln(5) = ln(1) -ln(625)$
technically the log of anything that is 1 is 0
$- 4ln(5) = -ln(625)$
$4ln(5) = ln(625)$

How do you change (1/5)^4 = 1/625(1/5)^4 = 1/625 into log form?