Answer:
[tex]\log_556[/tex]
Step-by-step explanation:
Given:
[tex]\log_5(4 \cdot 7)+\log_52[/tex]
Multiply the 4 and 7:
[tex]\implies \log_528+\log_52[/tex]
[tex]\textsf{Apply the Log Product law}: \quad \log_ax + \log_ay=\log_axy[/tex]
[tex]\implies \log_5(28\cdot2)[/tex]
Multiply the 28 and 2:
[tex]\implies \log_556[/tex]