SOLVING LOGARITHMIC EQUATIONS

Note:

To solve an exponential equation, isolate the exponential term, take the logarithm of both sides and solve.
If you would like an in-depth review of exponents, 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 8.4a:

$\log _{8}\left( 3x+4\right) ^{4}=24$

Solution

Problem 8.4b:

$\log _{12}\left( 4x-5\right) ^{2}=16$

Solution

Problem 8.4c:

$\log _{\displaystyle \frac{4}{3}}\left( 6x-11\right) ^{3}=5$

Solution

Problem 8.4d:

$\log _{.982}\left( x^{2}-6x+5\right) ^{2}=8$

Solution

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