en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3^{(x-1)}+3^x=4

Solution

3^{(x - 1)} + 3^{x} = 4

Solution

x = 1

Solution steps

3^{(x - 1)} + 3^{x} = 4

Factor

3^{x - 1} + 3^{x} : 4 \cdot 3^{x - 1}

4 \cdot 3^{x - 1} = 4

Divide both sides by

4

3^{x - 1} = 1

Apply exponent rules

(x - 1) ln (3) = ln (1)

Solve

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

x = 1

Popular Examples

0. 5^{x} = \frac{1}{16}

3^{(x + 2)} = 7

2^{3 x + 1} = 2^{3}

7^{x + 2} = 410

2^{3x-6}=2^{x-3}

2^{3 x - 6} = 2^{x - 3}

Frequently Asked Questions (FAQ)

What is the answer to 3^{(x-1)}+3^x=4 ?
The answer to 3^{(x-1)}+3^x=4 is x=1
Solve for x: 3^{(x-1)}+3^x=4
The solution is x=1