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Popular >

8e^{4x}-32e^{-4x}=0

Solution

8 e^{4 x} - 32 e^{- 4 x} = 0

Solution

x = \frac{ln ( 2 )}{4}

+1

Decimal Notation

x = 0.17328 \dots

Solution steps

8 e^{4 x} - 32 e^{- 4 x} = 0

Add

32 e^{- 4 x}

to both sides

8 e^{4 x} - 32 e^{- 4 x} + 32 e^{- 4 x} = 0 + 32 e^{- 4 x}

Simplify

8 e^{4 x} = 32 e^{- 4 x}

Apply exponent rules

ln (8) + 4 x = ln (32) - 4 x

Solve

ln (8) + 4 x = ln (32) - 4 x : x = \frac{ln ( 2 )}{4}

x = \frac{ln ( 2 )}{4}

Popular Examples

3^{2 x} = 2 e^{x}

2^{n} = 10

2^{3 x} - 2^{x} = 120

4 9^{x} - 6 \cdot 7^{x} - 7 = 0

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

8 1^{2 x + 3} = 9^{3 x + 1}

Frequently Asked Questions (FAQ)

What is the answer to 8e^{4x}-32e^{-4x}=0 ?
The answer to 8e^{4x}-32e^{-4x}=0 is x=(ln(2))/4