Resolver log_{03}(x-1)<log_{009}(x-1)

$$\log _ { 03 } ( x - 1 ) < \log _ { 009 } ( x - 1 )$$

Calcular

Pasos da solución

Multiplica 0 e 3 para obter 0.

$$\log_{0}\left(x-1\right)<\log_{0\times 0\times 9}\left(x-1\right)$$

Multiplica 0 e 0 para obter 0.

$$\log_{0}\left(x-1\right)<\log_{0\times 9}\left(x-1\right)$$

Multiplica 0 e 9 para obter 0.

$$\log_{0}\left(x-1\right)<\log_{0}\left(x-1\right)$$

Resta \log_{0}\left(x-1\right) en ambos lados.

$$\log_{0}\left(x-1\right)-\log_{0}\left(x-1\right)<0$$

Combina \log_{0}\left(x-1\right) e -\log_{0}\left(x-1\right) para obter 0.

$$0<0$$

Comparar 0 e 0.

$$\text{false}$$