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

The answer to log_{10}(1/(x-1))=2 is x= 101/100

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{101}{100}

Decimal Notation

x = 1.01

Solution steps

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

Apply log rules

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

Multiply both sides by

x - 1

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

Simplify

1 = 100 (x - 1)

Solve

1 = 100 (x - 1) : x = \frac{101}{100}

x = \frac{101}{100}

Verify Solutions:

x = \frac{101}{100}

True

The solution is

x = \frac{101}{100}

lo g_{x} (2 x + 80) = 2

lo g_{x} (3) = 0

lo g_{x} (3) = 7

- 3 lo g_{7} (3) = lo g_{7} (z)

lo g_{x} (3) = 2

What is the answer to log_{10}(1/(x-1))=2 ?
The answer to log_{10}(1/(x-1))=2 is x= 101/100
Solve for x: log_{10}(1/(x-1))=2
The solution is x= 101/100