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Write the log equation as an exponential equation. You do not need to solve for x. log(4)=3x+2 Answer:

Write the log equation as an exponential equation. You do not need to solve for x \mathrm{x} .\newlinelog⁡(4)=3x+2 \log (4)=3 x+2 \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⁡(4)=3x+2 \log (4)=3 x+2 \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 the exponential equation bc=ab^c = a. Here, the base bb of the logarithm is understood to be 1010 because it is not specified (this is called the common logarithm).
  2. Rewrite as Exponential Equation: Using the definition from the previous step, we can rewrite the given logarithmic equation log⁡(4)=3x+2\log(4)=3x+2 as an exponential equation. The base of the logarithm is 1010, so the equivalent exponential equation is 103x+2=410^{3x+2} = 4.

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