What is the answer to 5^{x-2}+5^{x-1}= 30/5 ?

The answer to 5^{x-2}+5^{x-1}= 30/5 is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5^{x-2}+5^{x-1}= 30/5

5^{x - 2} + 5^{x - 1} = \frac{30}{5}

x = 2

Solution steps

5^{x - 2} + 5^{x - 1} = \frac{30}{5}

Factor

5^{x - 2} + 5^{x - 1} : 6 \cdot 5^{x - 2}

6 \cdot 5^{x - 2} = 6

Divide both sides by

6

5^{x - 2} = 1

Apply exponent rules

(x - 2) ln (5) = ln (1)

Solve

(x - 2) ln (5) = ln (1) : x = 2

x = 2

0 = e^{- t}

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

1 4^{x + 3} = 20

1 0^{12} + 1 0^{y} = 1 0^{4}

4 (4^{2 x}) - 65 (4^{x}) + 16 = 0

What is the answer to 5^{x-2}+5^{x-1}= 30/5 ?
The answer to 5^{x-2}+5^{x-1}= 30/5 is x=2
Solve for x: 5^{x-2}+5^{x-1}= 30/5
The solution is x=2