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Write the log equation as an exponential equation. You do not need to solve for x. log(x)=2x+1 Answer:

Write the log equation as an exponential equation. You do not need to solve for x \mathrm{x} .\newlinelog⁡(x)=2x+1 \log (x)=2 x+1 \newlineAnswer:

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Q. Write the log equation as an exponential equation. You do not need to solve for x \mathrm{x} .\newlinelog⁡(x)=2x+1 \log (x)=2 x+1 \newlineAnswer:
  1. Use Logarithmic Definition: To convert the logarithmic equation to an exponential equation, we need to use the definition of a logarithm. The logarithm log⁡b(a)=c\log_b(a) = c can be rewritten as bc=ab^c = a. In this case, we have log⁡(x)=2x+1\log(x) = 2x + 1, which means we are dealing with a base 1010 logarithm (since no base is specified, it is understood to be 1010).
  2. Rewrite Logarithmic Equation: Using the definition of a logarithm, we can rewrite log⁡(x)\log(x) as 102x+1=x10^{2x + 1} = x. This is the exponential form of the given logarithmic equation.

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