Write the expression as a single logarithm

Question

-2/3log₅(5m²)+1/2log₅(25m²)

 

(Give the answer in the form log₅A^r, Where A is a rational expression in m and r is a rational number)

Answer 1

A=5^(1/3)m

r=(-1/3)

 

log₅5^(1/3)m^(-1/3)