What is the answer to 9ln(0.25x)=15 ?

The answer to 9ln(0.25x)=15 is x=4e^{5/3}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9ln(0.25x)=15

9 ln (0.25 x) = 15

x = 4 e^{\frac{5}{3}}

Decimal Notation

x = 21.17796 \dots

Solution steps

9 ln (0.25 x) = 15

Divide both sides by

9

ln (0.25 x) = \frac{5}{3}

Apply log rules

0.25 x = e^{\frac{5}{3}}

Solve

0.25 x = e^{\frac{5}{3}} : x = 4 e^{\frac{5}{3}}

x = 4 e^{\frac{5}{3}}

Verify Solutions:

x = 4 e^{\frac{5}{3}}

True

The solution is

x = 4 e^{\frac{5}{3}}

1 = lo g_{6} (- 7 + 2 x)

3 lo g_{4} (x) = 12

8.79 = - lo g_{10} (x)

y, x = lo g_{3} (y + 1)

x, lo g_{10} (x) = - 5