en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

e^{3x-1}=15

Solution

e^{3 x - 1} = 15

Solution

x = \frac{ln ( 15 ) + 1}{3}

+1

Decimal Notation

x = 1.23601 \dots

Solution steps

e^{3 x - 1} = 15

Apply exponent rules

3 x - 1 = ln (15)

Solve

3 x - 1 = ln (15) : x = \frac{ln ( 15 ) + 1}{3}

x = \frac{ln ( 15 ) + 1}{3}

Popular Examples

25^{2x+4}=625^{2x-1}

2 5^{2 x + 4} = 62 5^{2 x - 1}

0.8=(e^{-5+3x})/(1+e^{-5+3x)}

0.8 = \frac{e ^{- 5 + 3 x}}{1 + e ^{- 5 + 3 x}}

2(3e^{-x}x^2-e^{-x}x^3)=0

2 (3 e^{- x} x^{2} - e^{- x} x^{3}) = 0

e^x-3e^{-x}-4=0

e^{x} - 3 e^{- x} - 4 = 0

4^{x} = 3 2^{2 + x}

Frequently Asked Questions (FAQ)

What is the answer to e^{3x-1}=15 ?
The answer to e^{3x-1}=15 is x=(ln(15)+1)/3