What is the answer to ln(3x-19)=6 ?

The answer to ln(3x-19)=6 is x=(e^6+19)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln(3x-19)=6

ln (3 x - 19) = 6

x = \frac{e ^{6} + 19}{3}

Decimal Notation

x = 140.80959 \dots

Solution steps

ln (3 x - 19) = 6

Apply log rules

3 x - 19 = e^{6}

Solve

3 x - 19 = e^{6} : x = \frac{e ^{6} + 19}{3}

x = \frac{e ^{6} + 19}{3}

ln (3 x - 19) = 9

lo g_{2} (x + 3) - lo g_{4} (x + 2) = 1

0 = 2 - lo g_{2} (x)

ln (x) = 1 - 2 x

2 lo g_{x} (3 \frac{3}{8}) = 6