Use the changeofbase theorem to find the logarithm Log squar

Use the change-of-base theorem to find the logarithm. Log squareroot 19 4 log squareroot 19 4 = (Simplify your answer. Do not round until the final answer. Then round to four decimal places as needed.)

Solution

log_{sqrt 19}4

Change of base theorem is

log _db=log_ab/log_ad

Therefore

log_{sqrt 19}4=log₁₀4/log₁₀sqrt19

             =.602/.639

           =.942