Answer:
power property
Step-by-step explanation:
The property of logarithms in use is ...
log(a^b) = b·log(a) . . . . . log of a power
Here, we're taking the log ...
[tex]\log{\sqrt[6]{25x^2}}=\log{((5x)^2)^{\frac{1}{6}}}=\log{(5x)^{\frac{2}{6}}}=\dfrac{1}{3}\log{5x}[/tex]