en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2^x=(8^x)/e

Solution

2^{x} = \frac{8 ^{x}}{e}

Solution

x = \frac{1}{2 ln ( 2 )}

+1

Decimal Notation

x = 0.72134 \dots

Solution steps

2^{x} = \frac{8 ^{x}}{e}

Multiply both sides by

e

2^{x} e = \frac{8 ^{x}}{e} e

Simplify

2^{x} e = 8^{x}

Apply exponent rules

x ln (2) + ln (e) = 3 x ln (2)

Solve

x ln (2) + ln (e) = 3 x ln (2) : x = \frac{1}{2 ln ( 2 )}

x = \frac{1}{2 ln ( 2 )}

Popular Examples

3^a=\sqrt[5]{3^4}

solvefor y,e^{x+y}=y solve for

y, e^{x + y} = y

8 \cdot 3^{x} = 1

3x^3e^{-4x}-10x^2e^{-4x}=48xe^{-4x}

3 x^{3} e^{- 4 x} - 10 x^{2} e^{- 4 x} = 48 x e^{- 4 x}

3^{k} = 33

Frequently Asked Questions (FAQ)

What is the answer to 2^x=(8^x)/e ?
The answer to 2^x=(8^x)/e is x= 1/(2ln(2))