What is the answer to e^{(5y-3)/4}=e^{(4+y)/3} ?

The answer to e^{(5y-3)/4}=e^{(4+y)/3} is y= 25/11

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e^{(5y-3)/4}=e^{(4+y)/3}

e^{\frac{5 y - 3}{4}} = e^{\frac{4 + y}{3}}

y = \frac{25}{11}

Decimal Notation

y = 2.27272 \dots

Solution steps

e^{\frac{5 y - 3}{4}} = e^{\frac{4 + y}{3}}

Apply exponent rules

\frac{5 y - 3}{4} = \frac{4 + y}{3}

Solve

\frac{5 y - 3}{4} = \frac{4 + y}{3} : y = \frac{25}{11}

y = \frac{25}{11}

0. 5^{x + 7} \times 0. 5^{1 - 2 x} = 2

x^{6} + 5 x^{3} + 6

y, x = y^{3}

x^{6} + 4 x^{4} - x^{2} - 4 = 0

(x - 3)^{4} - 8 (x - 3)^{2} - 9 = 0

What is the answer to e^{(5y-3)/4}=e^{(4+y)/3} ?
The answer to e^{(5y-3)/4}=e^{(4+y)/3} is y= 25/11