en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1+2e^{2ln(x)}=7

Solution

1 + 2 e^{2 l n (x)} = 7

Solution

x = e^{\frac{l n ( 3 )}{2}}

+1

Decimal Notation

x = 1.73205 \dots

Solution steps

1 + 2 e^{2 l n (x)} = 7

Move

1

to the right side

2 e^{2 l n (x)} = 6

Divide both sides by

2

e^{2 l n (x)} = 3

Apply exponent rules

2 ln (x) = ln (3)

Solve

2 ln (x) = ln (3) : x = e^{\frac{l n ( 3 )}{2}}

x = e^{\frac{l n ( 3 )}{2}}

Popular Examples

e^{x-9}=sqrt(73)

e^{x - 9} = 73

e^{0.4 x} = 8

16^{2x-3}=8^{3x+4}

1 6^{2 x - 3} = 8^{3 x + 4}

1024^x=64^{2x-3}

102 4^{x} = 6 4^{2 x - 3}

1 1^{3 x - 2} = 65

Frequently Asked Questions (FAQ)

What is the answer to 1+2e^{2ln(x)}=7 ?
The answer to 1+2e^{2ln(x)}=7 is x=e^{(ln(3))/2}