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Beliebt Algebra >

5^{x-3}*3^{2x}-8=225

Lösung

5^{x - 3} \cdot 3^{2 x} - 8 = 225

Lösung

x = \frac{ln ( 233 ) + 3 ln ( 5 )}{ln ( 45 )}

+1

Dezimale

x = 2.70035 \dots

Schritte zur Lösung

5^{x - 3} \cdot 3^{2 x} - 8 = 225

Wende Exponentenregel an

(lo g_{3} (5) (x - 3) + 2 x) ln (3) = ln (233)

Löse

(lo g_{3} (5) (x - 3) + 2 x) ln (3) = ln (233) : x = \frac{ln ( 233 ) + 3 ln ( 5 )}{ln ( 45 )}

x = \frac{ln ( 233 ) + 3 ln ( 5 )}{ln ( 45 )}

Graph

Beliebte Beispiele

5(3^{2x-1})=243

5 (3^{2 x - 1}) = 243

3^{2x}-6*3^{x+1}-243=0

3^{2 x} - 6 \cdot 3^{x + 1} - 243 = 0

((2x^7))/((1-x))=30

\frac{( 2 x ^{7} )}{( 1 - x )} = 30

solvefor x,x^2+(y-4/(x^2))2=1

so l v e f or x, x^{2} + (y - \frac{4}{x ^{2}}) 2 = 1

1/((1+x^{a-b))}+1/((1+x^{b-a))}=1

\frac{1}{( 1 + x ^{a - b} )} + \frac{1}{( 1 + x ^{b - a} )} = 1