What is the answer to 2log_{5}(3x)=4 ?

The answer to 2log_{5}(3x)=4 is x= 25/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2log_{5}(3x)=4

2 lo g_{5} (3 x) = 4

x = \frac{25}{3}

Solution steps

2 lo g_{5} (3 x) = 4

Divide both sides by

2

lo g_{5} (3 x) = 2

Apply log rules

3 x = 25

Solve

3 x = 25 : x = \frac{25}{3}

x = \frac{25}{3}

Verify Solutions:

x = \frac{25}{3}

True

The solution is

x = \frac{25}{3}

ln (6 x) + ln (5) = ln (4 x + 2)

3.3 = - lo g_{10} (h)

10.28 = 5 - lo g_{10} (x)

lo g_{4} (3 x) = 5

lo g_{10} (\frac{1}{x}) = - 2.95