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Popular >

2e^{2x}-3e^{-2x}=0

Solution

2 e^{2 x} - 3 e^{- 2 x} = 0

Solution

x = \frac{ln ( 3 ) - ln ( 2 )}{4}

+1

Decimal Notation

x = 0.10136 \dots

Solution steps

2 e^{2 x} - 3 e^{- 2 x} = 0

Add

3 e^{- 2 x}

to both sides

2 e^{2 x} - 3 e^{- 2 x} + 3 e^{- 2 x} = 0 + 3 e^{- 2 x}

Simplify

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

Apply exponent rules

ln (2) + 2 x = ln (3) - 2 x

Solve

ln (2) + 2 x = ln (3) - 2 x : x = \frac{ln ( 3 ) - ln ( 2 )}{4}

x = \frac{ln ( 3 ) - ln ( 2 )}{4}

Popular Examples

5^{2x-1}=8^{x+1}

5^{2 x - 1} = 8^{x + 1}

2^{2x}-4*2^x+4=0

2^{2 x} - 4 \cdot 2^{x} + 4 = 0

4194304=4^{n-1}

4194304 = 4^{n - 1}

2^{4 x} = 8

3^x-2\times 3^{x-2}=7

3^{x} - 2 \times 3^{x - 2} = 7

Frequently Asked Questions (FAQ)

What is the answer to 2e^{2x}-3e^{-2x}=0 ?
The answer to 2e^{2x}-3e^{-2x}=0 is x=(ln(3)-ln(2))/4