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This video tutorial discusses solving a logarithmic equation taken from a book called "A Problem Book in Algebra" by Kretschmar. The equation is 2*log(x+3)=log(ax), where a is unknown. The goal is to find the values of a. To ensure the log function is defined, x+3 must be greater than 0. Using exponent rules, the equation simplifies to log(x+3)^2=log(ax). This clarifies the base 10 logarithm notation, with the base e logarithm represented as ln, to avoid confusion. The next step is to solve for the unknown parameter a.