What is the answer to 3^{4x-7}=5^{6x+11} ?

The answer to 3^{4x-7}=5^{6x+11} is x=(11ln(5)+7ln(3))/(2(2ln(3)-3ln(5)))

Solve for x: 3^{4x-7}=5^{6x+11}

The solution is x=(11ln(5)+7ln(3))/(2(2ln(3)-3ln(5)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3^{4 x - 7} = 5^{6 x + 11}

x = \frac{11 ln ( 5 ) + 7 ln ( 3 )}{2 ( 2 ln ( 3 ) - 3 ln ( 5 ) )}

Solution steps

3^{4 x - 7} = 5^{6 x + 11}

Apply exponent rules

(4 x - 7) ln (3) = (6 x + 11) ln (5)

Solve

(4 x - 7) ln (3) = (6 x + 11) ln (5) : x = \frac{11 ln ( 5 ) + 7 ln ( 3 )}{2 ( 2 ln ( 3 ) - 3 ln ( 5 ) )}

x = \frac{11 ln ( 5 ) + 7 ln ( 3 )}{2 ( 2 ln ( 3 ) - 3 ln ( 5 ) )}

5^{2 x} = 8^{x - 1}

e^{2 x} + 7 e^{x} - 8 = 0

x, 2 e^{2 x} - e^{x} = 0

300 \cdot 2^{0.02 x} = 9000

87.88 e^{3 r} = 263.64

What is the answer to 3^{4x-7}=5^{6x+11} ?
The answer to 3^{4x-7}=5^{6x+11} is x=(11ln(5)+7ln(3))/(2(2ln(3)-3ln(5)))
Solve for x: 3^{4x-7}=5^{6x+11}
The solution is x=(11ln(5)+7ln(3))/(2(2ln(3)-3ln(5)))