What is the answer to 5^{2x-2}-6*5^x+125=0 ?

The answer to 5^{2x-2}-6*5^x+125=0 is x=3,x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5^{2x-2}-6*5^x+125=0

5^{2 x - 2} - 6 \cdot 5^{x} + 125 = 0

x = 3, x = 2

Solution steps

5^{2 x - 2} - 6 \cdot 5^{x} + 125 = 0

Apply exponent rules

(5^{x})^{2} \cdot 5^{- 2} - 6 \cdot 5^{x} + 125 = 0

Rewrite the equation with

5^{x} = u

(u)^{2} \cdot 5^{- 2} - 6 u + 125 = 0

Solve

u^{2} \cdot 5^{- 2} - 6 u + 125 = 0 : u = 125, u = 25

u = 125, u = 25

Substitute back

u = 5^{x},

solve for

x

Solve

5^{x} = 125 : x = 3

Solve

5^{x} = 25 : x = 2

x = 3, x = 2

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

(x + 1) e^{- x} = 0

10 0^{x} + 1 0^{x} = 2

4^{n - 1} = 4096

4^{\frac{x}{6}} = 2

What is the answer to 5^{2x-2}-6*5^x+125=0 ?
The answer to 5^{2x-2}-6*5^x+125=0 is x=3,x=2
Solve for x: 5^{2x-2}-6*5^x+125=0
The solution is x=3,x=2