If log47≈1.404 and log45≈1.161, what is log435? Use the rule logb(xy)=logbx+logby to solve.(1 point)

Question

Responses

1.209
1.209

1.630
1.630

0.827
0.827

2.565

Answer 1

To find log435, we can use the rule logb(xy) = logbx + logby.

First, let's find log4 and log35:
log4 ≈ 1.161 (given)
log35 = log(4 * 5) = log4 + log5 ≈ 1.161 + 1.404 = 2.565

Now, let's find log435:
log435 = log(4 * 35) = log4 + log35 ≈ 1.161 + 2.565 = 3.726

Therefore, log435 ≈ 3.726. None of the answer choices match exactly, but the closest option is 3.726, which would be the correct answer.