Q. Write the log equation as an exponential equation. You do not need to solve for x.log5x(5x)=2Answer:
Question Prompt: The question_prompt: Convert the logarithmic equation to an exponential equation.
Logarithmic Equation: We have the logarithmic equation: log5x(5x)=2. To convert this to an exponential equation, we use the definition of a logarithm. The definition states that if logb(a)=c, then bc=a.
Definition of Logarithm: Using the definition, we can rewrite log5x(5x)=2 as an exponential equation where the base is (5x), the exponent is 2, and the result is the argument of the logarithm, which is also (5x).
Exponential Equation: Therefore, the exponential form of the equation is \(5x)^2 = 5x\
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