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

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

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

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

x = 5, x = \frac{1}{5}

Decimal Notation

x = 5, x = 0.2

Solution steps

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

Apply exponent rules

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

Solve

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

x = 5, x = \frac{1}{5}

Verify Solutions:

x = 5

True

, x = \frac{1}{5}

True

The solutions are

x = 5, x = \frac{1}{5}

3 \cdot 2^{x} = 4 \cdot 5^{x}

5^{x} = 4^{(x + 1)}

2^{x + 1} = 0

p = q^{n}

\frac{1}{81} = e^{- t}

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