16. -/5.55 points details my notes larpcalc11 3.2.059. 0/6 submissions use use a calculator to evaluate f(x)…
16. -/5.55 points details my notes larpcalc11 3.2.059. 0/6 submissions use use a calculator to evaluate f(x) = 7 ln(x) at the given value of x. round your result to three decimal places function value f(x) = 7 ln(x) x = √3 need help? read it submit answer 17. 5.55/5.55 points details my notes larpcalc11 3.2.067. 1/6 submissions used find the domain of the logarithmic function. (enter your answer using interval notation.) f(x) = ln(x - 6)
Answer
Explicación:
Paso 1: Sustituir el valor de (x) en la función
Sustituimos (x = \sqrt{3}) en (f(x)=7\ln(x)), obteniendo (f(\sqrt{3}) = 7\ln(\sqrt{3})).
Paso 2: Simplificar la expresión
Sabemos que (\sqrt{3}=3^{\frac{1}{2}}), entonces (f(\sqrt{3}) = 7\ln(3^{\frac{1}{2}})). Utilizando la propiedad (\ln(a^b)=b\ln(a)), tenemos (f(\sqrt{3}) = 7\times\frac{1}{2}\ln(3)=\frac{7}{2}\ln(3)).
Paso 3: Calcular el valor numérico
Usando una calculadora, (\ln(3)\approx1.0986), entonces (\frac{7}{2}\times1.0986 = 3.8451\approx3.845).
Respuesta:
(3.845)