To solve this expression, we can use the properties of logarithms:

log_b(x*y) = log_b(x) + log_b(y)
log_b(x/y) = log_b(x) - log_b(y)

Given the expression:

log75 + log725 + log7*(49/125)

This can be simplified as:

log7(525(49/125))
log7(5250.392)

Then, the expression becomes:

log7(49)

Therefore, the simplified expression is:

log7(49) = 2