Question

Using the fact that log 2=0.3010 and log 3 = 0.4771, what is log 18? Show how you know.​

Answer 1

We can factor out log(18) using 2 and 3.

log(18) = log (2 * 3^2)

Rewrite it using the Product Rule [ log(xy) = log(x) + log(y) ].

log (2 * 3^2) = log(2) + 2 log(3)

Now, solve using the given values.

0.3010 + 2(0.4771)

0.3010 + 0.9542

1.2552

Therefore, log(18) = 1.2552

Best of Luck!