SOLVING LOGARITHMIC EQUATIONS

Note:

If you would like an in-depth review of logarithms, the rules of logarithms, logarithmic functions and logarithmic equations, click on logarithmic function.



Solve for the real number x in the following equation.

If you would like to see the answers and the solutions, click on solution.


Problem 8.1a:

$\ln \left( 4x\right) =14$
Solution

Problem 8.1b:

$\log _{3}\left( 2x\right) =7$
Solution


Problem 8.1c:

$\log _{\displaystyle \frac{2}{3}}\left( -2x\right) =13$
Solution


Problem 8.1d:

$\log _{2x}\left( 75\right) =3$
Solution



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