5^x=100

Lösung

5^{x} = 100

x = \frac{2 ln ( 10 )}{ln ( 5 )}

Dezimale

x = 2.86135 \dots

Schritte zur Lösung

5^{x} = 100

Wende Exponentenregel an

x ln (5) = ln (100)

Löse

x ln (5) = ln (100) : x = \frac{2 ln ( 10 )}{ln ( 5 )}

x = \frac{2 ln ( 10 )}{ln ( 5 )}

6 x = \frac{10}{3} - 6^{- x}

2^{x - 3} = 16

2^{8^{x - 2}} = 4^{4^{x + 1}}

e^{3 x} = \frac{e ^{2}}{e ^{x}}

3^{y} = 6