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Beliebt Algebra >

1/8 x=log_{2}(x)

Lösung

\frac{1}{8} x = lo g_{2} (x)

Lösung

x = - \frac{8 W _{- 1} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}, x = - \frac{8 W _{0} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

+1

Dezimale

x = 43.55926 \dots, x = 1.09999 \dots

Schritte zur Lösung

\frac{1}{8} x = lo g_{2} (x)

Wenn

f (x) = g (x),

dann

a^{f (x)} = a^{g (x)}

2^{\frac{1}{8} x} = 2^{l o g_{2} (x)}

Vereinfache

2^{l o g_{2} (x)} : x

2^{\frac{1}{8} x} = x

Löse

2^{\frac{1}{8} x} = x : x = - \frac{8 W _{- 1} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}, x = - \frac{8 W _{0} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

x = - \frac{8 W _{- 1} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}, x = - \frac{8 W _{0} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

Überprüfe die Lösungen:

x = - \frac{8 W _{- 1} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

Wahr

, x = - \frac{8 W _{0} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

Wahr

Die Lösungen sind

x = - \frac{8 W _{- 1} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}, x = - \frac{8 W _{0} ( - \frac{l n ( 2 )}{8} )}{ln ( 2 )}

Graph

Beliebte Beispiele

(2x)(ln(x))-x=0

(2 x) (ln (x)) - x = 0

solvefor x,log_{x}(3x-y)=2

so l v e f or x, lo g_{x} (3 x - y) = 2

lo g_{3} (5 x) = 4

log_{2}(x)+log_{4}(x^2)=4

lo g_{2} (x) + lo g_{4} (x^{2}) = 4

1+log_{10}(3x-4)=0

1 + lo g_{10} (3 x - 4) = 0