What is the answer to 25^{y+2}=5^{y-4}*125^y ?

The answer to 25^{y+2}=5^{y-4}*125^y is y=4

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25^{y+2}=5^{y-4}*125^y

2 5^{y + 2} = 5^{y - 4} \cdot 12 5^{y}

y = 4

Solution steps

2 5^{y + 2} = 5^{y - 4} \cdot 12 5^{y}

Apply exponent rules

2 (y + 2) = 4 (y - 4) + 12

Solve

2 (y + 2) = 4 (y - 4) + 12 : y = 4

y = 4

\frac{4 ^{x - 1}}{2 ^{x + 2}} = 186

4 \cdot 7^{2 x} = 9

e^{x - 3} + e^{- x + 3} = 22

2^{9 x} = 5^{- x - 3}

e^{x + 1} = 9^{\frac{2 x}{3}}

What is the answer to 25^{y+2}=5^{y-4}*125^y ?
The answer to 25^{y+2}=5^{y-4}*125^y is y=4
Solve for y: 25^{y+2}=5^{y-4}*125^y
The solution is y=4