What is the answer to 27^{2x}=243^{x-2} ?

The answer to 27^{2x}=243^{x-2} is x=-10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

27^{2x}=243^{x-2}

2 7^{2 x} = 24 3^{x - 2}

x = - 10

Solution steps

2 7^{2 x} = 24 3^{x - 2}

Apply exponent rules

6 x = 5 (x - 2)

Solve

6 x = 5 (x - 2) : x = - 10

x = - 10

250000 = 50 e^{1.827226683 t}

5^{x + 1} = 4^{2 x - 3}

1 6^{- x + 2} = 8

15 x^{2} e^{- x} - 5 x^{3} e^{- x} = 0

e^{k x} = 0.5

What is the answer to 27^{2x}=243^{x-2} ?
The answer to 27^{2x}=243^{x-2} is x=-10
Solve for x: 27^{2x}=243^{x-2}
The solution is x=-10