With Solutions Pdf | Hard Logarithm Problems

Convert to natural logs: (\log_x 2 = \frac\ln 2\ln x), (\log_2x 2 = \frac\ln 2\ln(2x)), (\log_4x 2 = \frac\ln 2\ln(4x)).

4 solutions.

Let (a = \ln x). Then (\ln(2x) = a + \ln 2), (\ln(4x) = a + 2\ln 2). hard logarithm problems with solutions pdf

If you’re totally stuck, look only at the first line of the solution. This usually reveals the clever substitution or identity you missed. Then, try to finish the rest of the problem on your own. Convert to natural logs: (\log_x 2 = \frac\ln