What is the answer to 2^{n-7}*5^{n-4}=1250 ?

The answer to 2^{n-7}*5^{n-4}=1250 is n=8

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2^{n-7}*5^{n-4}=1250

2^{n - 7} \cdot 5^{n - 4} = 1250

n = 8

Solution steps

2^{n - 7} \cdot 5^{n - 4} = 1250

Apply exponent rules

n - 7 = 1

Solve

n - 7 = 1 : n = 8

n = 8

1 0^{\frac{2 x}{3}} = 15

3^{5 x (- 10)} = 1

x, 2 e^{x} + 3 e^{- 3 x} = 0

e^{2 t + 2} = 2 e^{2 - t}

2 e^{3 x - 2} + 4 = 16

What is the answer to 2^{n-7}*5^{n-4}=1250 ?
The answer to 2^{n-7}*5^{n-4}=1250 is n=8
Solve for n: 2^{n-7}*5^{n-4}=1250
The solution is n=8