What is the answer to 2.8=log_{10}(x/(x-100)) ?

The answer to 2.8=log_{10}(x/(x-100)) is x=100.15874…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2.8=log_{10}(x/(x-100))

2.8 = lo g_{10} (\frac{x}{x - 100})

x = 100.15874 \dots

Solution steps

2.8 = lo g_{10} (\frac{x}{x - 100})

Apply log rules

1 0^{2.8} = \frac{x}{x - 100}

Multiply both sides by

x - 100

1 0^{2.8} (x - 100) = \frac{x}{x - 100} (x - 100)

Simplify

1 0^{2.8} (x - 100) = x

Simplify

630.95734 \dots (x - 100) = x

Solve

630.95734 \dots (x - 100) = x : x = 100.15874 \dots

x = 100.15874 \dots

Verify Solutions:

x = 100.15874 \dots

True

The solution is

x = 100.15874 \dots

- 4 lo g_{3} (- 9 x) = - 4

ln (x) + x = 0.01

ln (3 x) = 1.3

x, ln (x) = e^{y}

x, lo g_{10} (16 x) = 0.5

What is the answer to 2.8=log_{10}(x/(x-100)) ?
The answer to 2.8=log_{10}(x/(x-100)) is x=100.15874…
Solve for x: 2.8=log_{10}(x/(x-100))
The solution is x=100.15874…