The provided log can be written as sum of (1/5)log₃(x) + log₃(y) after using the log property.
What is a logarithm?
It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
We have:
[tex]= \rm log_3(\sqrt[5]{x} . y)[/tex]
As we know:
log(mn) = logm + logn
logmⁿ = nlogm
[tex]= \rm log_3({x^{\dfrac{1}{5}}} . y)\\\\= \rm log_3({x^{\dfrac{1}{5}}} )+log_3 (y)\\\\= \rm \dfrac{1}{5}log_3({x^{}} )+log_3 (y)\\\\[/tex]
Thus, the provided log can be written as sum of (1/5)log₃(x) + log₃(y) after using the log property.
Learn more about the Logarithm here:
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