Which of the following is the value of log 86, if log 2≈0.3010 and log 43≈1.6335?
log 86 ≈0.4917
log 86 ≈1.9345
log 86 ≈3.2670
log 86 ≈1.9345
To find the log of 86, we can use the properties of logarithms to simplify it. Since 86 can be written as 2*43, we can use the logarithm property that log(ab) = log(a) + log(b). Therefore, log 86 = log(2*43) = log 2 + log 43.
Using the approximations given, log 2 ≈ 0.3010 and log 43 ≈ 1.6335, we can calculate log 86 as follows:
log 86 ≈ log 2 + log 43 ≈ 0.3010 + 1.6335 ≈ 1.9345
Therefore, log 86 ≈ 1.9345.