What is the answer to x^{log_{5}(x)}=625 ?

The answer to x^{log_{5}(x)}=625 is x=25,x= 1/25

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x^{log_{5}(x)}=625

x^{l o g_{5} (x)} = 625

x = 25, x = \frac{1}{25}

Solution steps

x^{l o g_{5} (x)} = 625

Apply exponent rules

lo g_{5} (x) ln (x) = ln (625)

Solve

lo g_{5} (x) ln (x) = ln (625) : x = 25, x = \frac{1}{25}

x = 25, x = \frac{1}{25}

Verify Solutions:

x = 25

True

, x = \frac{1}{25}

True

The solutions are

x = 25, x = \frac{1}{25}

5^{3 x - 8} = 2 5^{2 x}

8^{2 - x} = 4^{3 x}

t, e^{k t} = 2

1 6^{- r - 1} = \frac{1}{4}

5^{x} = 20

What is the answer to x^{log_{5}(x)}=625 ?
The answer to x^{log_{5}(x)}=625 is x=25,x= 1/25
Solve for x: x^{log_{5}(x)}=625
The solution is x=25,x= 1/25