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

The answer to sqrt(5^{x+2)}=25^{x-2} is x= 10/3

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

5^{x + 2} = 2 5^{x - 2}

x = \frac{10}{3}

Decimal Notation

x = 3.33333 \dots

Solution steps

5^{x + 2} = 2 5^{x - 2}

Apply exponent rules

(x + 2) \frac{1}{2} = 2 (x - 2)

Solve

(x + 2) \frac{1}{2} = 2 (x - 2) : x = \frac{10}{3}

x = \frac{10}{3}

1 0^{x} = 0.001

2^{9 x + 2} = 1 6^{5 x - 2}

e^{x} = 12

4^{x} = 9

3^{3 x - 2} = 9^{4 x - 1}

What is the answer to sqrt(5^{x+2)}=25^{x-2} ?
The answer to sqrt(5^{x+2)}=25^{x-2} is x= 10/3
Solve for x: sqrt(5^{x+2)}=25^{x-2}
The solution is x= 10/3