What is the answer to x^{log_{10}(x)}=10^4 ?

The answer to x^{log_{10}(x)}=10^4 is x=100,x= 1/100

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x^{log_{10}(x)}=10^4

x^{l o g_{10} (x)} = 1 0^{4}

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

Decimal Notation

x = 100, x = 0.01

Solution steps

x^{l o g_{10} (x)} = 1 0^{4}

Apply exponent rules

lo g_{10} (x) ln (x) = 4 ln (10)

Solve

lo g_{10} (x) ln (x) = 4 ln (10) : 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}

(6)^{8 x} = 21 6^{x - 3}

4^{x^{2} - x} = 16

2^{x + 3} = 2^{3 x + 5}

e^{x} - 6 x = 5

2^{x} \cdot 2^{x} = 2^{1}

What is the answer to x^{log_{10}(x)}=10^4 ?
The answer to x^{log_{10}(x)}=10^4 is x=100,x= 1/100
Solve for x: x^{log_{10}(x)}=10^4
The solution is x=100,x= 1/100