0/9/2/3 .
Beispiel 10 - 59

{log}_{a} (x + 3) = {log}_{a} (2 x + 1)

.
Definitionsbereich:

D = {x \in ℝ | x > - 1}

{log}_{a} (x + 3) = {log}_{a} (2 x + 1)

x + 3 = 2 x + 1

| - 1 - x

2 = x

\Rightarrow L = {2}

.
Weiteres Beispiel: .
${log}_{a} (x + 1) = {log}_{a} (2 x + 4)$ .
Definitionsbereich: $D = {x \in ℝ | x > - 1}$ .

${log}_{a} (x + 1) = {log}_{a} (2 x + 4)$ $| a^{. . .}$ Exponentieren .
$x + 1 = 2 x + 4$ $| - 4 - x$ .
$- 3 = x$ .
$L = {\emptyset}$ , da $- 3 \notin D$ .

10 Logarithmusfunktionen

10.2 Transzendente Gleichungen