What is the answer to 9^x=2e^{x^2} ?

The answer to 9^x=2e^{x^2} is x=(2ln(3)+sqrt(4ln^2(3)-4ln(2)))/2 ,x=(2ln(3)-sqrt(4ln^2(3)-4ln(2)))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9^x=2e^{x^2}

9^{x} = 2 e^{x^{2}}

x = \frac{2 ln ( 3 ) + 4 ln ^{2} ( 3 ) - 4 ln ( 2 )}{2}, x = \frac{2 ln ( 3 ) - 4 ln ^{2} ( 3 ) - 4 ln ( 2 )}{2}

Decimal Notation

x = 1.81541 \dots, x = 0.38181 \dots

Solution steps

9^{x} = 2 e^{x^{2}}

Apply exponent rules

x ln (9) = ln (2) + x^{2}

Solve

x ln (9) = ln (2) + x^{2} : x = \frac{2 ln ( 3 ) + 4 ln ^{2} ( 3 ) - 4 ln ( 2 )}{2}, x = \frac{2 ln ( 3 ) - 4 ln ^{2} ( 3 ) - 4 ln ( 2 )}{2}

x = \frac{2 ln ( 3 ) + 4 ln ^{2} ( 3 ) - 4 ln ( 2 )}{2}, x = \frac{2 ln ( 3 ) - 4 ln ^{2} ( 3 ) - 4 ln ( 2 )}{2}

2^{x - 1} = 4

1 6^{x + 3} = 6 4^{2 x - 1}

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

2^{x} = 0.1

5^{2 x + 1} = 5^{x} + 4

What is the answer to 9^x=2e^{x^2} ?
The answer to 9^x=2e^{x^2} is x=(2ln(3)+sqrt(4ln^2(3)-4ln(2)))/2 ,x=(2ln(3)-sqrt(4ln^2(3)-4ln(2)))/2