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Popular >

simplify 8^{log_{2}(5)}

Solution

simplify

8^{l o g_{2} (5)}

Solution

125

Solution steps

8^{l o g_{2} (5)}

Factor the number:

8 = 2^{3}

= (2^{3})^{l o g_{2} (5)}

Apply exponent rule:

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

= 2^{3 l o g_{2} (5)}

Apply exponent rule:

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

2^{3 l o g_{2} (5)} = (2^{l o g_{2} (5)})^{3}

= (2^{l o g_{2} (5)})^{3}

Apply log rule:

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

2^{l o g_{2} (5)} = 5

= 5^{3}

5^{3} = 125

= 125

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k^{2} - 1

∣ - 2 v - 4 ∣ < 8

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\frac{30}{27}

Frequently Asked Questions (FAQ)

What is 8^{log_{2}(5)} ?
The solution to 8^{log_{2}(5)} is 125