What is the answer to 2^x+8^x=130 ?

The answer to 2^x+8^x=130 is x=(ln(5))/(ln(2))

Solve for x: 2^x+8^x=130

The solution is x=(ln(5))/(ln(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2^{x} + 8^{x} = 130

x = \frac{ln ( 5 )}{ln ( 2 )}

Decimal

x = 2.32192 \dots

Solution steps

2^{x} + 8^{x} = 130

Apply exponent rules

2^{x} + (2^{x})^{3} = 130

Rewrite the equation with

2^{x} = u

u + (u)^{3} = 130

Solve

u + u^{3} = 130 : u = 5

u = 5

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = 5 : x = \frac{ln ( 5 )}{ln ( 2 )}

x = \frac{ln ( 5 )}{ln ( 2 )}

4^{- 2 x} = 7

2^{6 x} = 0.125

1 6^{x} = x^{8}

6^{3 x - 1} = 3 6^{x + 4}

9^{x + 1} + 3 = 28 \times 3^{x}

What is the answer to 2^x+8^x=130 ?
The answer to 2^x+8^x=130 is x=(ln(5))/(ln(2))
Solve for x: 2^x+8^x=130
The solution is x=(ln(5))/(ln(2))