What is the answer to 36^{2x}= 1/(6^{2(x+1))} ?

The answer to 36^{2x}= 1/(6^{2(x+1))} is x=-1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

36^{2x}= 1/(6^{2(x+1))}

3 6^{2 x} = \frac{1}{6 ^{2 (x + 1)}}

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

3 6^{2 x} = \frac{1}{6 ^{2 (x + 1)}}

Apply exponent rules

4 x = - 2 (x + 1)

Solve

4 x = - 2 (x + 1) : x = - \frac{1}{3}

x = - \frac{1}{3}

Verify Solutions:

x = - \frac{1}{3}

True

The solution is

x = - \frac{1}{3}

7^{x^{2}} = 7^{6 - x}

2^{x + 6} - 2^{x + 2} = 1

x^{x} = e

51 e^{3 x} = 102

9^{x} = 3^{x + 5}

What is the answer to 36^{2x}= 1/(6^{2(x+1))} ?
The answer to 36^{2x}= 1/(6^{2(x+1))} is x=-1/3
Solve for x: 36^{2x}= 1/(6^{2(x+1))}
The solution is x=-1/3