Simplify e^(ln 4-ln 2) and write without any logarithms. Answer:

Apply Logarithmic Properties: The properties of logarithms state that ln(a) - ln(b) is equal to ln(a/b). We apply this property to the expression inside the exponent. Calculation: ln(4) - ln(2) = ln(4/2)Simplify Fraction: Simplify the fraction inside the logarithm. Calculation: ln(4/2) = ln(2)Use Exponential Property: Use the property of exponents and logarithms that states e^(ln x) = x. We apply this property to simplify the expression. Calculation: e^(ln 2) = 2

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Simplify
e^(ln 4-ln 2) and write without any logarithms.
Answer:

Simplify $e^{\ln 4-\ln 2}$ and write without any logarithms. $\newline$ Answer:

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Precalculus

Find the roots of factored polynomials

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Q. Simplify

e^{\ln 4-\ln 2}

and write without any logarithms.

\newline

Answer:

Apply Logarithmic Properties: The properties of logarithms state that $\ln(a) - \ln(b)$ is equal to $\ln(\frac{a}{b})$ . We apply this property to the expression inside the exponent. $\newline$ Calculation: $\ln(4) - \ln(2) = \ln(\frac{4}{2})$
Simplify Fraction: Simplify the fraction inside the logarithm. $\newline$ Calculation: $\ln(\frac{4}{2}) = \ln(2)$
Use Exponential Property: Use the property of exponents and logarithms that states $e^{\ln x} = x$ . We apply this property to simplify the expression. $\newline$ Calculation: $e^{\ln 2} = 2$