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Write the log equation as an exponential equation. You do not need to solve for x. ln(x^(2)+3x-18)=2 Answer:

Write the log equation as an exponential equation. You do not need to solve for x \mathrm{x} .\newlineln⁡(x2+3x−18)=2 \ln \left(x^{2}+3 x-18\right)=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} .\newlineln⁡(x2+3x−18)=2 \ln \left(x^{2}+3 x-18\right)=2 \newlineAnswer:
  1. Identify Base and Components: Identify the base of the natural logarithm and the components of the equation.\newlineThe natural logarithm ln⁡\ln has a base of ee, where ee is approximately 2.718282.71828.\newlineIn the equation ln⁡(x2+3x−18)=2\ln(x^{2}+3x-18)=2, the left side is the logarithm of the expression (x2+3x−18)(x^{2}+3x-18), and the right side is the value of the logarithm, which is 22.
  2. Convert to Exponential Form: Convert the logarithmic equation to exponential form.\newlineThe general form of a logarithmic equation is ln⁡(a)=b\ln(a) = b, which can be rewritten in exponential form as eb=ae^b = a.\newlineUsing this relationship, we can convert ln⁡(x2+3x−18)=2\ln(x^{2}+3x-18)=2 to e2=x2+3x−18e^2 = x^{2}+3x-18.
  3. Write Final Equation: Write the final exponential equation.\newlineThe exponential form of the given logarithmic equation is e2=x2+3x−18e^2 = x^{2}+3x-18.

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