Løs log_{03}(x-1)<log_{009}(x-1)

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

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.

$$\text{false}$$