georgie00
georgie00
02-07-2017
Mathematics
contestada
Could I have help to find x?
Respuesta :
konrad509
konrad509
02-07-2017
[tex]\dfrac{16^{x+1}}{8^{2x+2}}=16\\ \dfrac{2^{4x+4}}{2^{6x+6}}=2^4\\ 2^{4x+4-6x-6}=2^4\\ 2^{-2x-2}=2^4\\ -2x-2=4\\ -2x=6\\ x=-3 [/tex]
Answer Link
Banabanana
Banabanana
02-07-2017
[tex] \cfrac{16^{x+1}}{8^{2x+2}}=16 \\ \\ \cfrac{(2^4)^{x+1}}{(2^3)^{2x+2}}=2^4 \\ \\ \cfrac{2^{4x+4}}{2^{6x+6}}=2^4 \\ \\ 2^{4x+4-(6x+6)}=2^4 \\ 2^{4x+4-6x-6}=2^4 \\ 2^{-2x-2}=2^4\\ \\ -2x-2=4 \\ -2x = 4+2 \\ -2x=6 \\ 2x=-6 \\ x=-6/2 \\ x=-3[/tex]
Answer Link
VER TODAS LAS RESPUESTAS ( 13+ )
Otras preguntas
All of the following expressions have a value between 0 and 1, excepta. \frac{(-3^{7})}{(-3)^9}b. 4^{-10}× 4^{6}c. \frac{(8^3)^3}{8^{-4}} d. ( \frac{2}{5} ^{8})
What value of x makes the equation true ? 4(2x-4)=16
find the circumference of a circle whose radius is 15.4cm
find the circumference of a circle whose radius is 15.4cm
jasmines cd collection is 3/8 jazz 1/4 rap and the rest is rock music what is the fraction of rock music
What value of x makes the equation true ? 4(2x-4)=16
find the circumference of a circle whose radius is 15.4cm
All of the following expressions have a value between 0 and 1, excepta. \frac{(-3^{7})}{(-3)^9}b. 4^{-10}× 4^{6}c. \frac{(8^3)^3}{8^{-4}} d. ( \frac{2}{5} ^{8})
In scientific notation, what is the sum of 2.3 times 10^{-3} and 5.4 times 10^{-4}?a. 2.84 times 10^{-3}b. 5.63 times 10^{-3}c. 7.7 times 10^{-7}d. 12.42 times
What value of x makes the equation true ? 4(2x-4)=16