What is expand ln(2)(2^x+x*2^x*ln(2)) ?

The solution to expand ln(2)(2^x+x*2^x*ln(2)) is ln(2)*2^x+ln^2(2)*2^xx

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expand ln(2)(2^x+x2^xln(2))

expand

ln (2) (2^{x} + x \cdot 2^{x} \cdot ln (2))

ln (2) \cdot 2^{x} + ln^{2} (2) \cdot 2^{x} x

Solution steps

ln (2) (2^{x} + x \cdot 2^{x} ln (2))

= ln (2) (2^{x} + ln (2) \cdot 2^{x} x)

Apply the distributive law:

a (b + c) = ab + a c

a = ln (2), b = 2^{x}, c = x \cdot 2^{x} ln (2)

= ln (2) \cdot 2^{x} + ln (2) x \cdot 2^{x} ln (2)

= ln (2) \cdot 2^{x} + ln (2) ln (2) \cdot 2^{x} x

ln (2) ln (2) \cdot 2^{x} x = ln^{2} (2) \cdot 2^{x} x

= ln (2) \cdot 2^{x} + ln^{2} (2) \cdot 2^{x} x

\frac{( x ^{2} + x + 1 )}{x - 2}

\frac{9 x - 27}{( x - 5 ) ( x + 4 )}

\frac{4 ( s + 6.25 )}{s ( s + 3.63 ) ( s + 28.6 )}

(3 x^{2} + 5) d y + (6 x y) d y

\frac{n x + q}{( x - g ) ^{2}}

What is expand ln(2)(2^x+x*2^x*ln(2)) ?
The solution to expand ln(2)(2^x+x*2^x*ln(2)) is ln(2)*2^x+ln^2(2)*2^xx