What is the answer to log_{10}(1/(1-x))=2 ?

The answer to log_{10}(1/(1-x))=2 is x= 99/100

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{10}(1/(1-x))=2

lo g_{10} (\frac{1}{1 - x}) = 2

x = \frac{99}{100}

Decimal Notation

x = 0.99

Solution steps

lo g_{10} (\frac{1}{1 - x}) = 2

Apply log rules

\frac{1}{1 - x} = 1 0^{2}

Multiply both sides by

1 - x

\frac{1}{1 - x} (1 - x) = 1 0^{2} (1 - x)

Simplify

1 = 100 (1 - x)

Solve

1 = 100 (1 - x) : x = \frac{99}{100}

x = \frac{99}{100}

Verify Solutions:

x = \frac{99}{100}

True

The solution is

x = \frac{99}{100}

lo g_{\frac{1}{2}} (2 x - 3) = 1

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

e^{- 2 l n (x)} = x^{- 2}

lo g_{3} ((r + 15)^{2}) = 2

lo g_{x} (\frac{32}{243}) = 5

What is the answer to log_{10}(1/(1-x))=2 ?
The answer to log_{10}(1/(1-x))=2 is x= 99/100
Solve for x: log_{10}(1/(1-x))=2
The solution is x= 99/100