What is the answer to 4^x+2-6(2^x-1)=0 ?

The answer to 4^x+2-6(2^x-1)=0 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 >

4^x+2-6(2^x-1)=0

4^{x} + 2 - 6 (2^{x} - 1) = 0

x = 2, x = 1

Solution steps

4^{x} + 2 - 6 (2^{x} - 1) = 0

Apply exponent rules

(2^{x})^{2} + 2 - 6 (2^{x} - 1) = 0

Rewrite the equation with

2^{x} = u

(u)^{2} + 2 - 6 (u - 1) = 0

Solve

u^{2} + 2 - 6 (u - 1) = 0 : u = 4, u = 2

u = 4, u = 2

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = 4 : x = 2

Solve

2^{x} = 2 : x = 1

x = 2, x = 1

p, 2^{p} - 2^{q} = 48

3^{x} \cdot 9^{2 x + 1} = 81

m, 3^{m} - 2^{n} = 2

3^{x + 2} + 3^{- x} = 10

1.2 1^{x} = 100

What is the answer to 4^x+2-6(2^x-1)=0 ?
The answer to 4^x+2-6(2^x-1)=0 is x=2,x=1
Solve for x: 4^x+2-6(2^x-1)=0
The solution is x=2,x=1