What is the answer to |2(3^x)-4|=8 ?

The answer to |2(3^x)-4|=8 is x=(ln(6))/(ln(3))

Solve for x: |2(3^x)-4|=8

The solution is x=(ln(6))/(ln(3))

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∣ 2 (3^{x}) - 4 ∣ = 8

x = \frac{ln ( 6 )}{ln ( 3 )}

Decimal Notation

x = 1.63092 \dots

Solution steps

∣ 2 (3^{x}) - 4 ∣ = 8

Rewrite the equation with

3^{x} = u

∣ 2 u - 4 ∣ = 8

Solve

∣ 2 u - 4 ∣ = 8 : u = - 2 or u = 6

u = - 2, u = 6

Substitute back

u = 3^{x},

solve for

x

Solve

3^{x} = - 2 :

No Solution for

x \in R

Solve

3^{x} = 6 : x = \frac{ln ( 6 )}{ln ( 3 )}

x = \frac{ln ( 6 )}{ln ( 3 )}

t, e^{- 4 u} = e^{2 t}

3^{x} + 3^{2 x + 1} = 4

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

5^{x + 1} + 5 + 5^{x - 1} = \frac{31}{5}

\frac{6 ^{x} - 7 ( 6 ^{- x} )}{2} = 3

What is the answer to |2(3^x)-4|=8 ?
The answer to |2(3^x)-4|=8 is x=(ln(6))/(ln(3))
Solve for x: |2(3^x)-4|=8
The solution is x=(ln(6))/(ln(3))