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Beliebt Algebra >

(1/16)^{3x-4}<= 64^{x-1}

Lösung

(\frac{1}{16})^{3 x - 4} \leq 6 4^{x - 1}

Lösung

x \geq \frac{11}{9}

+2

Intervall-Notation

[\frac{11}{9}, \infty)

Dezimale

x \geq 1.22222 \dots

Schritte zur Lösung

(\frac{1}{16})^{3 x - 4} \leq 6 4^{x - 1}

Wenn

f (x) \leq g (x)

dann

ln (f (x)) \leq ln (g (x))

ln ((\frac{1}{16})^{3 x - 4}) \leq ln (6 4^{x - 1})

Vereinfache

ln ((\frac{1}{16})^{3 x - 4}) : - 4 ln (2) (3 x - 4)

Vereinfache

ln (6 4^{x - 1}) : 6 ln (2) (x - 1)

- 4 ln (2) (3 x - 4) \leq 6 ln (2) (x - 1)

- 4 ln (2) (3 x - 4) \leq 6 ln (2) (x - 1) : x \geq \frac{11}{9}

x \geq \frac{11}{9}

Graph

Beliebte Beispiele

(x-6)/(x+2)<= 0

\frac{x - 6}{x + 2} \leq 0

x^{2} + 5 = - 5 x

(x-6)/(x-1)>= 0

\frac{x - 6}{x - 1} \geq 0

f = 3 (5) + 2

\frac{x + 1}{3} = - 2