Answer:
1.8751
Step-by-step explanation:
Given values for log 2 and log 3, you want to use them to find log 75.
Rules of logarithms
x = 10^(log(x))
log(xy) = log(x) +log(y)
log(x/y) = log(x) -log(y)
log(x^a) = a·log(x)
Application
We can write the value 75 as ...
75 = (10/2)^2 · 3
log(75) = 2(log(10) -log(2)) +log(3) = 2(1 -0.3010) +0.4771
log(75) = 2(0.6990) +0.4771) = 1.8751
The log of 75 is about 1.8751.
