Løs log_{left(0*3right)}({x-1})<log_{left(0*09right)}({x-1})

$$\log_{ \left(0 \cdot 3 \right) }({ x-1 }) < \log_{ \left(0 \cdot 09 \right) }({ x-1 })$$

Evaluer

Løsningsvejledning

Multiplicer 0 og 3 for at få 0.

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

Multiplicer 0 og 0 for at få 0.

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

Multiplicer 0 og 9 for at få 0.

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

Subtraher \log_{0}\left(x-1\right) fra begge sider.

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

Kombiner \log_{0}\left(x-1\right) og -\log_{0}\left(x-1\right) for at få 0.

$$0<0$$

Sammenlign 0 og 0.

$$\text{false}$$