Question 1069912: What is
log(z^4/5)
written in expanded form?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! log (z^4/5) = log(z^4) - log(5) = 4 * log(z) - log(5).
for example:
assume z is equal to 5.
log(z^4/5) equals log(5^4/5) equals log(5^3) equals 2.096910013.
4 * log(5) - log(5) equals 2.096910013.
they give you the same answer.
this means they're equivalent.
your solution is:
log(z^4/5) = 4 * log(z) - log(5).
this works for any legitimate value of z.
for example:
if z = 20, then log(z^4/5) = 4.505149978
and 4 * log(z) - log(5) = the same.
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