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Popular Trigonometría >

tan(3^x)=0

Solución

tan (3^{x}) = 0

Solución

x = \frac{ln ( πn )}{ln ( 3 )}

+1

Grados

x = 0^{\circ} + 59.70094 \dots^{\circ} n

Pasos de solución

tan (3^{x}) = 0

Soluciones generales para

tan (3^{x}) = 0

tan (x)

tabla de valores periódicos con

πn

intervalos:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

3^{x} = 0 + πn

3^{x} = 0 + πn

Resolver

3^{x} = 0 + πn : x = \frac{ln ( πn )}{ln ( 3 )}

3^{x} = 0 + πn

Aplicar las leyes de los exponentes

3^{x} = 0 + πn

Si

f (x) = g (x)

, entonces

ln (f (x)) = ln (g (x))

ln (3^{x}) = ln (0 + πn)

Aplicar las propiedades de los logaritmos:

ln (x^{a}) = a \cdot ln (x)

ln (3^{x}) = x ln (3)

x ln (3) = ln (0 + πn)

x ln (3) = ln (0 + πn)

Resolver

x ln (3) = ln (0 + πn) : x = \frac{ln ( πn )}{ln ( 3 )}

x ln (3) = ln (0 + πn)

0 + πn = πn

x ln (3) = ln (πn)

Dividir ambos lados entre

ln (3)

x ln (3) = ln (πn)

Dividir ambos lados entre

ln (3)

\frac{x ln ( 3 )}{ln ( 3 )} = \frac{ln ( πn )}{ln ( 3 )}

Simplificar

x = \frac{ln ( πn )}{ln ( 3 )}

x = \frac{ln ( πn )}{ln ( 3 )}

x = \frac{ln ( πn )}{ln ( 3 )}

x = \frac{ln ( πn )}{ln ( 3 )}

Gráfica

Ejemplos populares

cos(2x)+cos^2(x)=2

cos (2 x) + cos^{2} (x) = 2

tan^2(x)+5tan(x)-7=0

tan^{2} (x) + 5 tan (x) - 7 = 0

sin (x) = \frac{- 3}{4}

cot^2(x)-sqrt(3)cot(x)=0

cot^{2} (x) - 3 cot (x) = 0

tan(θ)=sqrt(2)

tan (θ) = 2