Si : log2 = mhallar "x" en la ecuacion :10 ^ x = 5a)m b)m + 1 c)1 - m d)m + 2 e)2 - m?
Si : log2 = m hallar "x" en la ecuacion : 10 ^ x = 5 a)m b)m + 1 c)1 - m d)m + 2 e)2 - m.
Si : log2 = m hallar "x" en la ecuacion : 10 ^ x = 5 a)m b)m + 1 c)1 - m d)m + 2 e)2 - m.
ax² + bx + c = 0
En resumen
10 ^ x = 5 / / log (base 10) log10 ^ x = log5. 10 ^ x = 5 ^ x 2 ^ x xlog5 + xlog2 = log5 x(log5 + log2) = log5 x = log5 / log10 __x = log5__ Pero si queremos el valor maximo de "x" en funcion de "m" m = log2 = > 10 ^ m = 2 = > 5 ^ m 2 ^ m = 2 = > 5 = 2 ^ (1 - m / m). Reemp.
Edeny
10 ^ x = 5 / / log (base 10)
log10 ^ x = log5.
10 ^ x = 5 ^ x 2 ^ x
xlog5 + xlog2 = log5
x(log5 + log2) = log5
x = log5 / log10
__x = log5__
Pero si queremos el valor maximo de "x" en funcion de "m"
m = log2 = > 10 ^ m = 2 = > 5 ^ m 2 ^ m = 2 = > 5 = 2 ^ (1 - m / m).
Reemp.
X = log5 = log <img src="https://tex.z-dn.net/?f=%202%5E%7B%20%5Cfrac%7B1-m%7D%7Bm%7D%20%7D%20" />
x = log <img src="https://tex.z-dn.net/?f=%202%5E%7B%20%5Cfrac%7B1%7D%7Bm%7D-1%20%7D%20" />
x = log<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%202%5E%7B%20%5Cfrac%7B1%7D%7Bm%7D%20%7D%20%7D%7B2%7D%20" />
x = log<img src="https://tex.z-dn.net/?f=%202%5E%7B%20%5Cfrac%7B1%7D%7Bm%7D%20%7D%20" /> - log 2
x = 1 / m log2 - log2.
Pero recordando que log2 = m
RESP___x = 1 - m___.
Respuesta : log x - log(x - a) = log(x - a) - log(x + a)log (x / x - a) = log (x - a / x + a)x / x - a = x - a / x + ax² + ax = x² + 2ax + a²ax = 2ax + a² x = 2x + a - a = x.
Respuesta : log x - log(x - a) = log(x - a) - log(x - a)log x / log(x - a) = log(x - a) / log(x - a)log x / log(x - a) = 1log x = log (x - a) x = x - a a = 0.