What is the answer to 6^{x+1}+6^{x+2}=7 ?

The answer to 6^{x+1}+6^{x+2}=7 is x=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6^{x+1}+6^{x+2}=7

6^{x + 1} + 6^{x + 2} = 7

x = - 1

Solution steps

6^{x + 1} + 6^{x + 2} = 7

Factor

6^{x + 1} + 6^{x + 2} : 7 \cdot 6^{x + 1}

7 \cdot 6^{x + 1} = 7

Divide both sides by

7

6^{x + 1} = 1

Apply exponent rules

(x + 1) ln (6) = ln (1)

Solve

(x + 1) ln (6) = ln (1) : x = - 1

x = - 1

9^{1 - x} = 16

3 e^{x} = 12

e^{1 - 4 x} = 3

e^{1 - 4 x} = 7

3^{x} \cdot 5^{x} = 3.375

What is the answer to 6^{x+1}+6^{x+2}=7 ?
The answer to 6^{x+1}+6^{x+2}=7 is x=-1
Solve for x: 6^{x+1}+6^{x+2}=7
The solution is x=-1