What is the answer to 5^{2x}+125=30(5^x) ?

The answer to 5^{2x}+125=30(5^x) is x=2,x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5^{2x}+125=30(5^x)

5^{2 x} + 125 = 30 (5^{x})

x = 2, x = 1

Solution steps

5^{2 x} + 125 = 30 (5^{x})

Apply exponent rules

(5^{x})^{2} + 125 = 30 \cdot 5^{x}

Rewrite the equation with

5^{x} = u

(u)^{2} + 125 = 30 u

Solve

u^{2} + 125 = 30 u : u = 25, u = 5

u = 25, u = 5

Substitute back

u = 5^{x},

solve for

x

Solve

5^{x} = 25 : x = 2

Solve

5^{x} = 5 : x = 1

x = 2, x = 1

200 e^{- 0.01 x} = 200 x + 49

8 = 4^{x + 1}

9^{2 x - 7} = 729

8 = 4^{x + 2}

0 = (\frac{1}{2})^{x} - 4

What is the answer to 5^{2x}+125=30(5^x) ?
The answer to 5^{2x}+125=30(5^x) is x=2,x=1
Solve for x: 5^{2x}+125=30(5^x)
The solution is x=2,x=1