What is the answer to ln(4x-3)=ln(9)-ln(x-3) ?

The answer to ln(4x-3)=ln(9)-ln(x-3) is x= 15/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln(4x-3)=ln(9)-ln(x-3)

ln (4 x - 3) = ln (9) - ln (x - 3)

x = \frac{15}{4}

Decimal Notation

x = 3.75

Solution steps

ln (4 x - 3) = ln (9) - ln (x - 3)

Add

ln (x - 3)

to both sides

ln (4 x - 3) + ln (x - 3) = ln (9) - ln (x - 3) + ln (x - 3)

Simplify

ln (4 x - 3) + ln (x - 3) = ln (9)

Apply log rules

(4 x - 3) (x - 3) = 9

Solve

(4 x - 3) (x - 3) = 9 : x = \frac{15}{4}, x = 0

x = \frac{15}{4}, x = 0

Verify Solutions:

x = \frac{15}{4}

True

, x = 0

False

The solution is

x = \frac{15}{4}

lo g_{3} (x + 1) = lo g_{3} (x - 1)

x, y = - ln (x)

lo g_{2} (6 x - 3) = 3

ln (x) = ln (x + 1)

9 lo g_{3} (x) - 26 = 1

What is the answer to ln(4x-3)=ln(9)-ln(x-3) ?
The answer to ln(4x-3)=ln(9)-ln(x-3) is x= 15/4
Solve for x: ln(4x-3)=ln(9)-ln(x-3)
The solution is x= 15/4