Question 1069912
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.