What is the answer to log_{x}(1/100)=2 ?

The answer to log_{x}(1/100)=2 is x= 1/10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(1/100)=2

lo g_{x} (\frac{1}{100}) = 2

x = \frac{1}{10}

Decimal Notation

x = 0.1

Solution steps

lo g_{x} (\frac{1}{100}) = 2

Apply log rules

\frac{ln ( \frac{1}{100} )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{100} )}{ln ( x )} ln (x) = 2 ln (x)

Apply log rules

x = \frac{1}{10}

Verify Solutions:

x = \frac{1}{10}

True

The solution is

x = \frac{1}{10}

lo g_{b} (16) = 2

5 - 3 ln (4 x) = - 10

lo g_{10} (6 n - 4) = 2

lo g_{2} (x) = 2 + lo g_{2} (15)

ln (3 x - 10) = 5

What is the answer to log_{x}(1/100)=2 ?
The answer to log_{x}(1/100)=2 is x= 1/10
Solve for x: log_{x}(1/100)=2
The solution is x= 1/10