What is the answer to 5log_{5}(x)+5=0 ?

The answer to 5log_{5}(x)+5=0 is x= 1/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5log_{5}(x)+5=0

5 lo g_{5} (x) + 5 = 0

x = \frac{1}{5}

Decimal Notation

x = 0.2

Solution steps

5 lo g_{5} (x) + 5 = 0

Move

5

to the right side

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

Divide both sides by

5

lo g_{5} (x) = - 1

Apply log rules

x = \frac{1}{5}

Verify Solutions:

x = \frac{1}{5}

True

The solution is

x = \frac{1}{5}

lo g_{2} (3 + x) - lo g_{2} (2 x) = 5

lo g_{32} (x) = - \frac{2}{5}

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

lo g_{5} (2 x - 5) = 0

lo g_{a} (9) = 2