What is the answer to (25^4)/(5^{5y)}=125^y ?

The answer to (25^4)/(5^{5y)}=125^y is y=1

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(25^4)/(5^{5y)}=125^y

\frac{2 5 ^{4}}{5 ^{5 y}} = 12 5^{y}

y = 1

Solution steps

\frac{2 5 ^{4}}{5 ^{5 y}} = 12 5^{y}

Apply exponent rules

- 5 y + 8 = 3 y

Solve

- 5 y + 8 = 3 y : y = 1

y = 1

Verify Solutions:

y = 1

True

The solution is

y = 1

5 \cdot \frac{5 ^{5 x}}{2 5 ^{x}} = 25

t e^{a t}

\frac{324}{327} = e^{10 k}

2 = 0.1 x + e^{0.25 x}

y, x y = e^{x + y}

What is the answer to (25^4)/(5^{5y)}=125^y ?
The answer to (25^4)/(5^{5y)}=125^y is y=1
Solve for y: (25^4)/(5^{5y)}=125^y
The solution is y=1