What is the answer to log_{3}(x+4)-log_{3}(3-5x)=2 ?

The answer to log_{3}(x+4)-log_{3}(3-5x)=2 is x= 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{3}(x+4)-log_{3}(3-5x)=2

lo g_{3} (x + 4) - lo g_{3} (3 - 5 x) = 2

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

lo g_{3} (x + 4) - lo g_{3} (3 - 5 x) = 2

Add

lo g_{3} (3 - 5 x)

to both sides

lo g_{3} (x + 4) - lo g_{3} (3 - 5 x) + lo g_{3} (3 - 5 x) = 2 + lo g_{3} (3 - 5 x)

Simplify

lo g_{3} (x + 4) = 2 + lo g_{3} (3 - 5 x)

Apply log rules

x + 4 = 9 (3 - 5 x)

Solve

x + 4 = 9 (3 - 5 x) : x = \frac{1}{2}

x = \frac{1}{2}

Verify Solutions:

x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

lo g_{4} (1 - 5 x) = 2

ln (x^{2} - 1) = ln (2 - 2 x)

lo g_{10} (x) = 2.692

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

- \frac{- 2 ln ( 2 x ) + 3}{x ^{3}} = 0

What is the answer to log_{3}(x+4)-log_{3}(3-5x)=2 ?
The answer to log_{3}(x+4)-log_{3}(3-5x)=2 is x= 1/2
Solve for x: log_{3}(x+4)-log_{3}(3-5x)=2
The solution is x= 1/2