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Propiedades de los logaritmos

Authored by Jorge Luis Carrera

Mathematics

11th Grade

Used 188+ times

Propiedades de los logaritmos
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Desarrolle la siguiente expresión  log⁡2(x2y4z3)\log_2\left(\frac{x^2}{y^4z^3}\right)  

 log⁡2x2−log⁡2y4+log⁡2z3\log_2x^2-\log_2y^4+\log_2z^3  

 log⁡2x2+log⁡2y4−log⁡2z3\log_2x^2+\log_2y^4-\log_2z^3  

 2log⁡2x−4log⁡2y−3log⁡2z2\log_2x-4\log_2y-3\log_2z  

 2log⁡2x−4log⁡2y+3log⁡2z2\log_2x-4\log_2y+3\log_2z  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Al aplicar propiedades de logaritmos, la expresión   2log⁡2a−3log⁡2b2\log_2a-3\log_2b   se reduce a:

 log⁡2(a2b3)\log_2\left(\frac{a^2}{b^3}\right)  

 log⁡2a2b3\log_2a^2b^3  

 log⁡2a3b2\log_2a^3b^2  

 log⁡2(a3b2)\log_2\left(\frac{a^3}{b^2}\right)  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Si simplificamos la expresión log⁡b(x+1)−log⁡bx\log_b\left(x+1\right)-\log_bx se obtiene:

 log⁡bx(x+1)\log_bx\left(x+1\right)  

 log⁡b(xx+1)\log_b\left(\frac{x}{x+1}\right)  

 log⁡b(x2+x)\log_b\left(x^2+x\right)  

 log⁡b(x+1x)\log_b\left(\frac{x+1}{x}\right)  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Al desarrollar la expresión log⁡bx2y\log_bx^2\sqrt{y}  obtenemos:

 2log⁡bx−12log⁡by2\log_bx-\frac{1}{2}\log_by  

 2log⁡bx+2log⁡by2\log_bx+2\log_by  

 2log⁡bx+log⁡by122\log_bx+\log_by^{\frac{1}{2}}  

 2log⁡bx+12log⁡by2\log_bx+\frac{1}{2}\log_by  

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

El conjunto solución de la ecuación 3log⁡8(2x+1)=23\log_8\left(2x+1\right)=2  es:

 {23}\left\{\frac{2}{3}\right\}  

 {−32}\left\{-\frac{3}{2}\right\}  

 {32}\left\{\frac{3}{2}\right\}  

 {−23}\left\{-\frac{2}{3}\right\}  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

El conjunto solución de la ecuación  33−x=53^{3-x}=5  es:

 log⁡3(95)\log_3\left(\frac{9}{5}\right)  

 log⁡953\log_{\frac{9}{5}}3  

 log⁡359\log_{\frac{3}{5}}9  

 log⁡9(35)\log_9\left(\frac{3}{5}\right)  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

El conjunto solución de la ecuación  ln⁡x=ln⁡(x+1)\ln x=\ln\left(x+1\right)  es:

 {ϕ}\left\{\phi\right\}  

 {12}\left\{\frac{1}{2}\right\}  

 {−12}\left\{-\frac{1}{2}\right\}  

 {2}\left\{2\right\}  

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