What is the answer to (5^{2-x})/(5^x)=5^{16} ?

The answer to (5^{2-x})/(5^x)=5^{16} is x=-7

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(5^{2-x})/(5^x)=5^{16}

\frac{5 ^{2 - x}}{5 ^{x}} = 5^{16}

x = - 7

Solution steps

\frac{5 ^{2 - x}}{5 ^{x}} = 5^{16}

Apply exponent rules

2 - 2 x = 16

Solve

2 - 2 x = 16 : x = - 7

x = - 7

Verify Solutions:

x = - 7

True

The solution is

x = - 7

2^{4 x - x^{2}} = 8

\frac{2 ^{x - 3}}{4 ^{10}} = 8^{3}

1 0^{x} = 0.5

1 0^{x} = 0.2

e^{4 x} = e^{8}

What is the answer to (5^{2-x})/(5^x)=5^{16} ?
The answer to (5^{2-x})/(5^x)=5^{16} is x=-7
Solve for x: (5^{2-x})/(5^x)=5^{16}
The solution is x=-7