What is the answer to x^{log_{10}(x)}=10000 ?

The answer to x^{log_{10}(x)}=10000 is x=100,x= 1/100

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x^{log_{10}(x)}=10000

x^{l o g_{10} (x)} = 10000

x = 100, x = \frac{1}{100}

Decimal Notation

x = 100, x = 0.01

Solution steps

x^{l o g_{10} (x)} = 10000

Apply exponent rules

lo g_{10} (x) ln (x) = ln (10000)

Solve

lo g_{10} (x) ln (x) = ln (10000) : x = 100, x = \frac{1}{100}

x = 100, x = \frac{1}{100}

Verify Solutions:

x = 100

True

, x = \frac{1}{100}

True

The solutions are

x = 100, x = \frac{1}{100}

9^{x} - 7 (3^{x}) = 18

2^{x} + 2^{- x} = 7

5^{x} = 9

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

x - 2^{- x} = 0

What is the answer to x^{log_{10}(x)}=10000 ?
The answer to x^{log_{10}(x)}=10000 is x=100,x= 1/100
Solve for x: x^{log_{10}(x)}=10000
The solution is x=100,x= 1/100