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Popular >

simplify 10^{3log_{10}(2)}

Solution

simplify

1 0^{3 l o g_{10} (2)}

Solution

8

Solution steps

1 0^{3 l o g_{10} (2)}

Apply exponent rule:

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

1 0^{3 l o g_{10} (2)} = (1 0^{l o g_{10} (2)})^{3}

= (1 0^{l o g_{10} (2)})^{3}

Apply log rule:

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

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

= 2^{3}

2^{3} = 8

= 8

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Frequently Asked Questions (FAQ)

What is 10^{3log_{10}(2)} ?
The solution to 10^{3log_{10}(2)} is 8