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Popular >

2e^{3x+11}=3

Solution

2 e^{3 x + 11} = 3

Solution

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

+1

Decimal Notation

x = - 3.53151 \dots

Solution steps

2 e^{3 x + 11} = 3

Divide both sides by

2

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

Apply exponent rules

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

Solve

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

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

Popular Examples

36^{5x+2}=(1/6)^{11-x}

3 6^{5 x + 2} = (\frac{1}{6})^{11 - x}

(9x)^x=9^{3^{18}}

(9 x)^{x} = 9^{3^{18}}

8(2^{2x})-10(2^x)+2=0

8 (2^{2 x}) - 10 (2^{x}) + 2 = 0

(sqrt(2))^x=4^{x^2+1}

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

2^{2x}+2^{x+2}-12=0

2^{2 x} + 2^{x + 2} - 12 = 0

Frequently Asked Questions (FAQ)

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