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Beliebt Algebra >

sqrt(3)^{3x-1}=6^{x-5}

Lösung

3^{3 x - 1} = 6^{x - 5}

Lösung

x = \frac{ln ( 20155392 )}{ln ( \frac{4}{3} )}

+1

Dezimale

x = 58.46378 \dots

Schritte zur Lösung

(3)^{3 x - 1} = 6^{x - 5}

Wende Exponentenregel an

\frac{1}{2} (3 x - 1) ln (3) = (x - 5) ln (6)

Löse

\frac{1}{2} (3 x - 1) ln (3) = (x - 5) ln (6) : x = \frac{ln ( 20155392 )}{ln ( \frac{4}{3} )}

x = \frac{ln ( 20155392 )}{ln ( \frac{4}{3} )}

Graph

Beliebte Beispiele

2^{2x+1}-5*2^x+2=0

2^{2 x + 1} - 5 \cdot 2^{x} + 2 = 0

U(t)e^t-V(t)e^{-t}=0

U (t) e^{t} - V (t) e^{- t} = 0

3 e^{3 x + 4} - 8 = e

solvefor x,3^{4x-5}=2^{x+3}

so l v e f or x, 3^{4 x - 5} = 2^{x + 3}

5^{x+3}=(1/3)^{3-x}

5^{x + 3} = (\frac{1}{3})^{3 - x}