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Popular >

4e^{2x}-16=0

Solution

4 e^{2 x} - 16 = 0

Solution

x = ln (2)

+1

Decimal Notation

x = 0.69314 \dots

Solution steps

4 e^{2 x} - 16 = 0

Add

16

to both sides

4 e^{2 x} - 16 + 16 = 0 + 16

Simplify

4 e^{2 x} = 16

Divide both sides by

4

e^{2 x} = 4

Apply exponent rules

2 x = ln (4)

Solve

2 x = ln (4) : x = ln (2)

x = ln (2)

Popular Examples

e^{2x}+2e^x-24=0

e^{2 x} + 2 e^{x} - 24 = 0

5^{3 x + 1} = - 5

3^{2x}=9^{5x-4}

3^{2 x} = 9^{5 x - 4}

4^{x+1}-9(2)^x=-2

4^{x + 1} - 9 (2)^{x} = - 2

3^{x} = 7^{4 x + 1}

Frequently Asked Questions (FAQ)

What is the answer to 4e^{2x}-16=0 ?
The answer to 4e^{2x}-16=0 is x=ln(2)