What is the answer to 3^{x+1}=(1^x)/3 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3^{x+1}=(1^x)/3

3^{x + 1} = \frac{1 ^{x}}{3}

x = - 2

Solution steps

3^{x + 1} = \frac{1 ^{x}}{3}

Multiply both sides by

3

3^{x + 1} \cdot 3 = \frac{1 ^{x}}{3} \cdot 3

Simplify

3^{x + 1} \cdot 3 = 1^{x}

Apply exponent rules

(x + 1 + 1) ln (3) = x ln (1)

Solve

(x + 1 + 1) ln (3) = x ln (1) : x = - 2

x = - 2

x, 3^{2 x} = g^{3 - x}

3 \cdot 2^{- x} = 2 \cdot 3^{x}

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

85 = 1 1^{x}

5^{x + 1} = 7^{5 x - 1}