What is the answer to |4-2^x|=10 ?

The answer to |4-2^x|=10 is x=(ln(14))/(ln(2))

Solve for x: |4-2^x|=10

The solution is x=(ln(14))/(ln(2))

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∣ 4 - 2^{x} ∣ = 10

x = \frac{ln ( 14 )}{ln ( 2 )}

Decimal Notation

x = 3.80735 \dots

Solution steps

∣ 4 - 2^{x} ∣ = 10

Rewrite the equation with

2^{x} = u

∣ 4 - u ∣ = 10

Solve

∣ 4 - u ∣ = 10 : u = - 6 or u = 14

u = - 6, u = 14

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = - 6 :

No Solution for

x \in R

Solve

2^{x} = 14 : x = \frac{ln ( 14 )}{ln ( 2 )}

x = \frac{ln ( 14 )}{ln ( 2 )}

19683 = 3^{n - 1}

3^{1 + 2 x} = - 1 + 4 \cdot 3^{x}

8^{2 x} + 7 (8^{x}) - 18 = 0

x, 2^{x} + 2^{y} + 2^{z} = e

e^{(7 - 4 x)} = 6

What is the answer to |4-2^x|=10 ?
The answer to |4-2^x|=10 is x=(ln(14))/(ln(2))
Solve for x: |4-2^x|=10
The solution is x=(ln(14))/(ln(2))