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Popular >

simplify 4^{log_{2}(5)}

Solution

simplify

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

Solution

25

Solution steps

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

Factor the number:

4 = 2^{2}

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

Apply exponent rule:

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

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

Apply exponent rule:

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

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

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

Apply log rule:

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

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

= 5^{2}

5^{2} = 25

= 25

Popular Examples

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2 (x - 1) < x + 3

factor 4c^2-20c+25 factor

4 c^{2} - 20 c + 25

4x-3>9\lor 10-3x>= 8

4 x - 3 > 9 or 10 - 3 x \geq 8

(x - 4) (x + 2) < 0

Frequently Asked Questions (FAQ)

What is 4^{log_{2}(5)} ?
The solution to 4^{log_{2}(5)} is 25