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