Question

If log36≈1.556, what is log6 to the nearest thousandth?(1 point)
Responses

0.259
0.259

0.778
0.778

1.248
1.248

0.519

Answer 1

To find log6, we need to use the logarithmic property:

log(ab) = log(a) + log(b)

We can rewrite log36 as:

log36 = log(6 * 6)

Using the logarithmic property, we can split this into two separate logarithms:

log(6) + log(6) = 2 * log(6)

Now we know that log36 ≈ 1.556, so we can solve for log(6):

1.556 = 2 * log(6)

Dividing both sides by 2, we get:

log(6) = 0.778

Therefore, log6 to the nearest thousandth is 0.778.

Answer: 0.778