5^{x-2}*2^{2x-3}=135

Lösung

5^{x - 2} \cdot 2^{2 x - 3} = 135

x = \frac{ln ( 1080 ) + 2 ln ( 5 )}{ln ( 20 )}

Dezimale

x = 3.40604 \dots

Schritte zur Lösung

5^{x - 2} \cdot 2^{2 x - 3} = 135

Wende Exponentenregel an

(lo g_{2} (5) (x - 2) + 2 x - 3) ln (2) = ln (135)

Löse

(lo g_{2} (5) (x - 2) + 2 x - 3) ln (2) = ln (135) : x = \frac{ln ( 1080 ) + 2 ln ( 5 )}{ln ( 20 )}

x = \frac{ln ( 1080 ) + 2 ln ( 5 )}{ln ( 20 )}

3^{\frac{3}{( l o g _{3} ( x ) )}} = 27

4^{x + 2} = 2^{2 x + 3} + 2

(8^{2})^{0} + (8^{2})^{0} = 2^{x}

7 + 2^{x} + 1 = 11

2^{x + 3} = 4