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Popular >

2e^{3x}-3=15

Solution

2 e^{3 x} - 3 = 15

Solution

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

+1

Decimal Notation

x = 0.73240 \dots

Solution steps

2 e^{3 x} - 3 = 15

Move

3

to the right side

2 e^{3 x} = 18

Divide both sides by

2

e^{3 x} = 9

Apply exponent rules

3 x = ln (9)

Solve

3 x = ln (9) : x = \frac{2 ln ( 3 )}{3}

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

Popular Examples

8^{x - 1} = 6^{3 x}

e^{3x}-e^{6x}=0

e^{3 x} - e^{6 x} = 0

e^{2x}-3e^x-10=0

e^{2 x} - 3 e^{x} - 10 = 0

9^{x-1}=(1/3)^{2x}

9^{x - 1} = (\frac{1}{3})^{2 x}

4-(6^{5-3x})=-5

4 - (6^{5 - 3 x}) = - 5

Frequently Asked Questions (FAQ)

What is the answer to 2e^{3x}-3=15 ?
The answer to 2e^{3x}-3=15 is x=(2ln(3))/3