Question

Use log, 30.563, log, 5 0.806, and log, 7 1.042 to approximate the value of the given logarithm to 3 decimal places. Assume that b>0 and b +1.

14
✓15

Answer 1

1.605

Step-by-step explanation:

Log rules: logb(x*y) = logb(x) + logb(y)

So working with what you're given, x=3 and y=7 so that x*y=21

logb(21)=logb(3)+logb(7)

logb(21)=0.563+1.042=1.605