What is the answer to ln(2x+5)-ln(x)=4 ?

The answer to ln(2x+5)-ln(x)=4 is x= 5/(e^4-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

ln(2x+5)-ln(x)=4

ln (2 x + 5) - ln (x) = 4

x = \frac{5}{e ^{4} - 2}

Decimal Notation

x = 0.09506 \dots

Solution steps

ln (2 x + 5) - ln (x) = 4

Add

ln (x)

to both sides

ln (2 x + 5) - ln (x) + ln (x) = 4 + ln (x)

Simplify

ln (2 x + 5) = 4 + ln (x)

Apply log rules

2 x + 5 = e^{4} x

Solve

2 x + 5 = e^{4} x : x = \frac{5}{e ^{4} - 2}

x = \frac{5}{e ^{4} - 2}

Verify Solutions:

x = \frac{5}{e ^{4} - 2}

True

The solution is

x = \frac{5}{e ^{4} - 2}

1 - lo g_{2} (1 - x^{2}) = 2

4 + ln (27 x) = 22 - 2 ln (x)

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

ln (1 - 4 x) = - 5.6 x

ln (7 - x) + ln (3 x + 5) = ln (24 x)

What is the answer to ln(2x+5)-ln(x)=4 ?
The answer to ln(2x+5)-ln(x)=4 is x= 5/(e^4-2)
Solve for x: ln(2x+5)-ln(x)=4
The solution is x= 5/(e^4-2)