Answer:
![log(x^{3}y^{2}) = 3 log x+2 log y](https://tex.z-dn.net/?f=log%28x%5E%7B3%7Dy%5E%7B2%7D%29%20%3D%203%20log%20x%2B2%20log%20y)
Step-by-step explanation:
Step 1:-
using logarithmic formula ![log(ab)=log a+log b](https://tex.z-dn.net/?f=log%28ab%29%3Dlog%20a%2Blog%20b)
so given ![log(x^{3} y^{2} ) = log (x^{3} )+log(y^{2} )](https://tex.z-dn.net/?f=log%28x%5E%7B3%7D%20y%5E%7B2%7D%20%29%20%3D%20log%20%28x%5E%7B3%7D%20%29%2Blog%28y%5E%7B2%7D%20%29)
now simplify
= ![3 log x+2 log y](https://tex.z-dn.net/?f=3%20log%20x%2B2%20log%20y)
<u>Answer:</u>-
![log(x^{3}y^{2})= [tex]3 log x+2 log y](https://tex.z-dn.net/?f=log%28x%5E%7B3%7Dy%5E%7B2%7D%29%3D%20%5Btex%5D3%20log%20x%2B2%20log%20y)
Answer:
Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.
Step-by-step explanation:
Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.
De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.
2/5 more i believe!
basically just subtract 4/5 and 2/5 and you get 2/5
feel free to mark brainliest, hope this helps!
Answer:
There are no solutions to the inequality.
Step-by-step explanation:
|x - 3| < x – 3
1. Separate the inequality into two separate ones.
(1) x – 3 < x – 3
(2) x – 3 < -(x – 3)
2. Solve each equation separately
(a) Equation (1)
![\begin{array}{rcl}x - 3 & < & x - 3\\x & < & x\\\end{array}\\\text{This is impossible. No solutions exist.}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7Dx%20-%203%20%26%20%3C%20%26%20x%20-%203%5C%5Cx%20%26%20%3C%20%26%20x%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BThis%20is%20impossible.%20No%20solutions%20exist.%7D)
(b) Equation (2)
![\begin{array}{rcl}x - 3 & < & -(x - 3)\\x - 3 & < & -x + 3\\x &](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7Dx%20-%203%20%26%20%3C%20%26%20-%28x%20-%203%29%5C%5Cx%20-%203%20%26%20%3C%20%26%20-x%20%2B%203%5C%5Cx%20%26%20%3C%26%20-x%20%2B%206%5C%5C2x%20%26%20%3C%20%26%206%5C%5Cx%20%26%20%3C%20%26%203%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BThis%20is%20impossible.%20No%20solutions%20exist%7D)
For example, if x = 0, we get
|0 - 3| < 0 - 3 or
3 < -3