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

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

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

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

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

Decimal Notation

x = 100, x = 0.01

Solution steps

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

Apply exponent rules

lo g_{10} (x) ln (x) \frac{1}{2} = ln (10)

Solve

lo g_{10} (x) ln (x) \frac{1}{2} = 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}

2 e^{2 x} + e^{x} = 6

e^{x + 3} = 5

1 6^{- x} = 4

m, 2^{m + 1} + 2^{m} = 3^{n + 2} - 3^{n}

2^{k} + 2^{k} = 2 \cdot 2^{k}

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