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Beliebt Algebra >

solvefor x,(2^2)^x-(3^2)^y=55

Lösung

löse nach

x, (2^{2})^{x} - (3^{2})^{y} = 55

Lösung

x = \frac{ln ( 55 + 9 ^{y} )}{2 ln ( 2 )}

Schritte zur Lösung

(2^{2})^{x} - (3^{2})^{y} = 55

Wende Exponentenregel an

2 x ln (2) = ln (55 + 9^{y})

Löse

2 x ln (2) = ln (55 + 9^{y}) : x = \frac{ln ( 55 + 9 ^{y} )}{2 ln ( 2 )}

x = \frac{ln ( 55 + 9 ^{y} )}{2 ln ( 2 )}

Graph

Beliebte Beispiele

(1/2)^{a+1}+(1/2)^{a+3}+(1/2)^{a+5}=42

(\frac{1}{2})^{a + 1} + (\frac{1}{2})^{a + 3} + (\frac{1}{2})^{a + 5} = 42

2^x*2^1-6=-23*2^x*2^1

2^{x} \cdot 2^{1} - 6 = - 23 \cdot 2^{x} \cdot 2^{1}

19 2^{x} = 3.967

1 3^{x} = 30

4^{1/(x-2)}=((log_{10}(sqrt(10))))/2

4^{\frac{1}{x - 2}} = \frac{( lo g _{10} ( 10 ) )}{2}