What is 4^{log_{2}(5)+2log_{0.25}(3)} ?

The solution to 4^{log_{2}(5)+2log_{0.25}(3)} is 2.77777…

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simplify 4^{log_{2}(5)+2log_{0.25}(3)}

simplify

4^{l o g_{2} (5) + 2 l o g_{0.25} (3)}

2.77777 \dots

Solution steps

4^{l o g_{2} (5) + 2 l o g_{0.25} (3)}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= 4^{l o g_{2} (5)} \cdot 4^{2 l o g_{0.25} (3)}

Simplify

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

= 5^{2} \cdot 4^{2 l o g_{0.25} (3)}

5^{2} = 25

= 25 \cdot 4^{2 l o g_{0.25} (3)}

4^{2 l o g_{0.25} (3)} = 0.11111 \dots

= 25 \cdot 0.11111 \dots

Multiply the numbers:

25 \cdot 0.11111 \dots = 2.77777 \dots

= 2.77777 \dots

sin (x) \cdot sin (x)

\frac{30}{6}

(2 a - 3)^{2}

(3 x^{2} + x - 2) (- 4 x^{2} - 2 x - 1)

(x^{2} + x)^{2}

What is 4^{log_{2}(5)+2log_{0.25}(3)} ?
The solution to 4^{log_{2}(5)+2log_{0.25}(3)} is 2.77777…