3600=6.5044× 10^{-9}× 1.63429^x

Lösung

3600 = 6.5044 \cdot 1 0^{- 9} \cdot 1.6342 9^{x}

x = \frac{ln ( \frac{3600000000000}{6.5044} )}{ln ( 1.63429 )}

Dezimale

x = 55.04684 \dots

Schritte zur Lösung

3600 = 6.5044 \cdot 1 0^{- 9} \cdot 1.6342 9^{x}

Tausche die Seiten

6.5044 \cdot 1 0^{- 9} \cdot 1.6342 9^{x} = 3600

Teile beide Seiten durch

6.5044 \cdot 1 0^{- 9}

1.6342 9^{x} = \frac{3600}{6.5044 \cdot 1 0 ^{- 9}}

Vereinfache

\frac{3600}{6.5044 \cdot 1 0 ^{- 9}} : \frac{3600000000000}{6.5044}

1.6342 9^{x} = \frac{3600000000000}{6.5044}

Wende Exponentenregel an

x ln (1.63429) = ln (\frac{3600000000000}{6.5044})

Löse

x ln (1.63429) = ln (\frac{3600000000000}{6.5044}) : x = \frac{ln ( \frac{3600000000000}{6.5044} )}{ln ( 1.63429 )}

x = \frac{ln ( \frac{3600000000000}{6.5044} )}{ln ( 1.63429 )}

121 \times 1 1^{x - 2} = 3 \times 1 1^{x} - 22

2 = 8^{x}

so l v e f or a, (K^{4})^{a} = K^{20}

4^{3 x - 17} = 64

6 4^{2 n} = 51 2^{x + 3}