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Popular >

-3e^{2x}+16=5

Solution

- 3 e^{2 x} + 16 = 5

Solution

x = \frac{ln ( \frac{11}{3} )}{2}

+1

Decimal Notation

x = 0.64964 \dots

Solution steps

- 3 e^{2 x} + 16 = 5

Move

16

to the right side

- 3 e^{2 x} = - 11

Divide both sides by

- 3

e^{2 x} = \frac{11}{3}

Apply exponent rules

2 x = ln (\frac{11}{3})

Solve

2 x = ln (\frac{11}{3}) : x = \frac{ln ( \frac{11}{3} )}{2}

x = \frac{ln ( \frac{11}{3} )}{2}

Popular Examples

4^{2 x + 1} = 32

417 e^{x} = 3888

2^{2 x - 1} = 32

solvefor x,6e^{2x}=9e^{4x}solve for

x, 6 e^{2 x} = 9 e^{4 x}

e^{3 x} = 24

Frequently Asked Questions (FAQ)

What is the answer to -3e^{2x}+16=5 ?
The answer to -3e^{2x}+16=5 is x=(ln(11/3))/2