Here, we show you a step-by-step solved example of logarithmic equations. This solution was automatically generated by our smart calculator:
Express the numbers in the equation as logarithms of base $4$
For two logarithms of the same base to be equal, their arguments must be equal. In other words, if $\log(a)=\log(b)$ then $a$ must equal $b$
Calculate the power $4^{3}$
Verify that the solutions obtained are valid in the initial equation
The valid solutions to the logarithmic equation are the ones that, when replaced in the original equation, don't result in any logarithm of negative numbers or zero, since in those cases the logarithm does not exist
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