What is the answer to log_{10}(x)+log_{10}(x+9)=2 ?

The answer to log_{10}(x)+log_{10}(x+9)=2 is x=(-9+sqrt(481))/2

Solve for x: log_{10}(x)+log_{10}(x+9)=2

The solution is x=(-9+sqrt(481))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

lo g_{10} (x) + lo g_{10} (x + 9) = 2

x = \frac{- 9 + 481}{2}

Decimal Notation

x = 6.46585 \dots

Solution steps

lo g_{10} (x) + lo g_{10} (x + 9) = 2

Apply log rules

x (x + 9) = 100

Solve

x (x + 9) = 100 : x = \frac{- 9 + 481}{2}, x = \frac{- 9 - 481}{2}

x = \frac{- 9 + 481}{2}, x = \frac{- 9 - 481}{2}

Verify Solutions:

x = \frac{- 9 + 481}{2}

True

, x = \frac{- 9 - 481}{2}

False

The solution is

x = \frac{- 9 + 481}{2}

lo g_{8} (x + 6) = \frac{2}{3}

0.88 = ln (x)

lo g_{10} (x) + lo g_{10} (10) = 2

lo g_{9} (x) = (lo g_{3} (x)) 2

lo g_{3} (x) + lo g_{3} (x + 8) = 2

What is the answer to log_{10}(x)+log_{10}(x+9)=2 ?
The answer to log_{10}(x)+log_{10}(x+9)=2 is x=(-9+sqrt(481))/2
Solve for x: log_{10}(x)+log_{10}(x+9)=2
The solution is x=(-9+sqrt(481))/2