Use the changeofbase rule to find the logarithm to four deci

Use the change-of-ba.se rule to find the logarithm to four decimal places. log_35 71.10

Solution

The change of base formula for logarithm is log_b x = log_a x/ log_a b. Let us substitute b = 35, a = 10and x = 71.10 in this formula. Then, log₃₅71.10 = log₁₀71.10/log₁₀ 35 = = 1.851869601/1.544068044 = 1.1993 ( on rounding off to 4 decimal places).Thge answer is 1.1993.