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Popular >

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

Solution

simplify

b^{3 l o g_{b} (10)}

Solution

1000

Solution steps

b^{3 l o g_{b} (10)}

Apply exponent rule:

a^{b c} = (a^{b})^{c},

assuming

a \geq 0

b^{3 l o g_{b} (10)} = (b^{l o g_{b} (10)})^{3}

= (b^{l o g_{b} (10)})^{3}

Apply log rule:

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

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

= 1 0^{3}

1 0^{3} = 1000

= 1000

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Frequently Asked Questions (FAQ)

What is b^{3log_{b}(10)} ?
The solution to b^{3log_{b}(10)} is 1000