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Popular >

2e^{2x+7}-15=0

Solution

2 e^{2 x + 7} - 15 = 0

Solution

x = \frac{ln ( \frac{15}{2} ) - 7}{2}

+1

Decimal Notation

x = - 2.49254 \dots

Solution steps

2 e^{2 x + 7} - 15 = 0

Add

15

to both sides

2 e^{2 x + 7} - 15 + 15 = 0 + 15

Simplify

2 e^{2 x + 7} = 15

Divide both sides by

2

e^{2 x + 7} = \frac{15}{2}

Apply exponent rules

2 x + 7 = ln (\frac{15}{2})

Solve

2 x + 7 = ln (\frac{15}{2}) : x = \frac{ln ( \frac{15}{2} ) - 7}{2}

x = \frac{ln ( \frac{15}{2} ) - 7}{2}

Popular Examples

e^{3 x} = 4

6^{x - 2} = 36

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

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

1 0^{1 - x} = \frac{1}{10}

7^{x} = 12

Frequently Asked Questions (FAQ)

What is the answer to 2e^{2x+7}-15=0 ?
The answer to 2e^{2x+7}-15=0 is x=(ln(15/2)-7)/2