What is the answer to x^{sqrt(log_{10)(x)}}=10^8 ?

The answer to x^{sqrt(log_{10)(x)}}=10^8 is x=10000

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x^{sqrt(log_{10)(x)}}=10^8

x^{l o g_{10} (x)} = 1 0^{8}

x = 10000

Solution steps

x^{l o g_{10} (x)} = 1 0^{8}

Apply exponent rules

lo g_{10} (x) ln (x) = 8 ln (10)

Solve

lo g_{10} (x) ln (x) = 8 ln (10) : x = 10000

x = 10000

Verify Solutions:

x = 10000

True

The solution is

x = 10000

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6^{3 x - 5} = 27

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8^{x} + 8^{x - 1} + 8^{x + 1} = 292

(n - 2)^{(n - 2) 2} = 2

What is the answer to x^{sqrt(log_{10)(x)}}=10^8 ?
The answer to x^{sqrt(log_{10)(x)}}=10^8 is x=10000
Solve for x: x^{sqrt(log_{10)(x)}}=10^8
The solution is x=10000