Step-by-step explanation:
(log 0.04 − 2 log 0.3) / (1 − log 15)
Change 1 to log 10.
(log 0.04 − 2 log 0.3) / (log 10 − log 15)
Use log property: a log b = log bᵃ.
(log 0.04 − log 0.09) / (log 10 − log 15)
Use log property: log a − log b = log (a/b).
log (0.04/0.09) / log (10/15)
Reduce fractions.
log (4/9) / log (2/3)
Change 4/9 to (2/3)².
log ((2/3)²) / log (2/3)
Use log property: log bᵃ = a log b.
2 log (2/3) / log (2/3)
Divide.
2
