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Popular >

simplify 100^{log_{10}(x)}

Solution

simplify

10 0^{l o g_{10} (x)}

Solution

x^{2}

Solution steps

10 0^{l o g_{10} (x)}

Factor the number:

100 = 1 0^{2}

= (1 0^{2})^{l o g_{10} (x)}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 1 0^{2 l o g_{10} (x)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

1 0^{2 l o g_{10} (x)} = (1 0^{l o g_{10} (x)})^{2}

= (1 0^{l o g_{10} (x)})^{2}

Apply log rule:

a^{l o g_{a} (b)} = b

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

= x^{2}

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Frequently Asked Questions (FAQ)

What is 100^{log_{10}(x)} ?
The solution to 100^{log_{10}(x)} is x^2