What is the answer to -7+ln(2x)=4 ?

The answer to -7+ln(2x)=4 is x=(e^{11})/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-7+ln(2x)=4

- 7 + ln (2 x) = 4

x = \frac{e ^{11}}{2}

Decimal Notation

x = 29937.07085 \dots

Solution steps

- 7 + ln (2 x) = 4

Move

7

to the right side

ln (2 x) = 11

Apply log rules

2 x = e^{11}

Solve

2 x = e^{11} : x = \frac{e ^{11}}{2}

x = \frac{e ^{11}}{2}

Verify Solutions:

x = \frac{e ^{11}}{2}

True

The solution is

x = \frac{e ^{11}}{2}

lo g_{10} (x^{3} 20000) = 2

lo g_{7} (x) = 9 lo g_{x} (7)

lo g_{10} (x^{2} + 2 x - 8) = 0

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

- ln (2 + x) = 2