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
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