What is the answer to 3log_{4}(6x)=9 ?

The answer to 3log_{4}(6x)=9 is x= 32/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3log_{4}(6x)=9

3 lo g_{4} (6 x) = 9

x = \frac{32}{3}

Decimal Notation

x = 10.66666 \dots

Solution steps

3 lo g_{4} (6 x) = 9

Divide both sides by

3

lo g_{4} (6 x) = 3

Apply log rules

6 x = 64

Solve

6 x = 64 : x = \frac{32}{3}

x = \frac{32}{3}

Verify Solutions:

x = \frac{32}{3}

True

The solution is

x = \frac{32}{3}

5 ln (x) = - 15

lo g_{x} (\frac{19}{65}) = 1.7

lo g_{10} (t) = 4.1339

lo g_{2} (x) + lo g_{2} (4 x) - 4 = 0

2 lo g_{3} (x) - lo g_{3} (x + 6) = 1