What is the answer to 25^{m-2}=sqrt(5^{2m+4)} ?

The answer to 25^{m-2}=sqrt(5^{2m+4)} is m=6

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25^{m-2}=sqrt(5^{2m+4)}

2 5^{m - 2} = 5^{2 m + 4}

m = 6

Solution steps

2 5^{m - 2} = 5^{2 m + 4}

Apply exponent rules

2 (m - 2) = m + 2

Solve

2 (m - 2) = m + 2 : m = 6

m = 6

3^{2 x + 1} = 10 (3^{x}) - 3

(e^{4 x + 1})^{3} = e^{2}

65 = 1 5^{x}

62 5^{x + 5} = 5^{3 x - 4} 2 5^{2 x - 3}

8 1^{x^{2} - 1} = 27

What is the answer to 25^{m-2}=sqrt(5^{2m+4)} ?
The answer to 25^{m-2}=sqrt(5^{2m+4)} is m=6
Solve for m: 25^{m-2}=sqrt(5^{2m+4)}
The solution is m=6