The given logarithm expression is:
[tex]2\log_72+6\log_75[/tex]
It is required to use the properties of logarithms to rewrite the expression.
Use the Power Property of Logarithm to rewrite each term of the expression:
[tex]\Rightarrow\operatorname{\log}_72^2+\operatorname{\log}_75^6[/tex]
Rewrite the expression using the Product Property of Logarithm:
[tex]\Rightarrow\log_7(2^2\cdot5^6)=\log_7(5^6\cdot2^2)[/tex]
The answer is B.
