2^{4x+3}=10

Lösung

2^{4 x + 3} = 10

x = \frac{ln ( \frac{5}{4} )}{4 ln ( 2 )}

Dezimale

x = 0.08048 \dots

Schritte zur Lösung

2^{4 x + 3} = 10

Wende Exponentenregel an

(4 x + 3) ln (2) = ln (10)

Löse

(4 x + 3) ln (2) = ln (10) : x = \frac{ln ( \frac{5}{4} )}{4 ln ( 2 )}

x = \frac{ln ( \frac{5}{4} )}{4 ln ( 2 )}

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

4^{2 x + 1} - 4^{x + 2} = 128

4^{x (x)} = 4 (8^{x})

5^{x + 4} = 4^{x + 5}

7^{0.3 x} = 813