What is the answer to x^{log_{5}(x)-2}=125 ?

The answer to x^{log_{5}(x)-2}=125 is x=125,x= 1/5

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x^{log_{5}(x)-2}=125

x^{l o g_{5} (x) - 2} = 125

x = 125, x = \frac{1}{5}

Decimal Notation

x = 125, x = 0.2

Solution steps

x^{l o g_{5} (x) - 2} = 125

Apply exponent rules

(lo g_{5} (x) - 2) ln (x) = ln (125)

Solve

(lo g_{5} (x) - 2) ln (x) = ln (125) : x = 125, x = \frac{1}{5}

x = 125, x = \frac{1}{5}

Verify Solutions:

x = 125

True

, x = \frac{1}{5}

True

The solutions are

x = 125, x = \frac{1}{5}

5^{4 X + 20} = 5^{12 X + 20}

4^{- x + 4} = 5^{9 x}

(1.09)^{t} = 4

2 e^{2 x} = e^{- x}

e^{x - 5} = 15

What is the answer to x^{log_{5}(x)-2}=125 ?
The answer to x^{log_{5}(x)-2}=125 is x=125,x= 1/5
Solve for x: x^{log_{5}(x)-2}=125
The solution is x=125,x= 1/5