1.4=(3/100)^t

Lösung

1.4 = (\frac{3}{100})^{t}

t = \frac{ln ( 1.4 )}{ln ( \frac{3}{100} )}

Dezimale

t = - 0.09595 \dots

Schritte zur Lösung

1.4 = (\frac{3}{100})^{t}

Wende Exponentenregel an

ln (1.4) = t ln (\frac{3}{100})

Löse

ln (1.4) = t ln (\frac{3}{100}) : t = \frac{ln ( 1.4 )}{ln ( \frac{3}{100} )}

t = \frac{ln ( 1.4 )}{ln ( \frac{3}{100} )}

(1 6^{x})^{2} = 8^{4 x - 3}

25 6^{a} + 25 6^{a} + 1 6^{a} = 1

4^{x} - 2 = 2^{6} x

3^{x - 1} = \frac{1}{2 ^{x + 5}}

2^{(x + 2) (x^{2} - 5 x + 6)} = 1