What is expand+1/2 (1/(xln(7))+1) ?

The solution to expand+1/2 (1/(xln(7))+1) is 1/(2ln(7)x)+1/2

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expand+1/2 (1/(xln(7))+1)

expand

+ \frac{1}{2} (\frac{1}{x ln ( 7 )} + 1)

\frac{1}{2 ln ( 7 ) x} + \frac{1}{2}

Solution steps

\frac{1}{2} (\frac{1}{x ln ( 7 )} + 1)

= \frac{1}{2} (\frac{1}{ln ( 7 ) x} + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{1}{2}, b = \frac{1}{x ln ( 7 )}, c = 1

= \frac{1}{2} \cdot \frac{1}{x ln ( 7 )} + \frac{1}{2} \cdot 1

= \frac{1}{2} \cdot \frac{1}{ln ( 7 ) x} + 1 \cdot \frac{1}{2}

Simplify

\frac{1}{2} \cdot \frac{1}{ln ( 7 ) x} + 1 \cdot \frac{1}{2} : \frac{1}{2 ln ( 7 ) x} + \frac{1}{2}

= \frac{1}{2 ln ( 7 ) x} + \frac{1}{2}

\frac{1}{5} (15 a + b)

\frac{( a + b ) ^{2} - 16}{( 8 a + b + 4 ) ^{2}}

\frac{60}{s ( s + 1 ) ( s + 5 ) ( s + 10 )}

\frac{d ^{2}}{d x ^{2}} ((y) (x^{4} + y^{2}))

(x^{3} + 2 x + 14) (- \frac{1}{3} cos (3 x))

What is expand+1/2 (1/(xln(7))+1) ?
The solution to expand+1/2 (1/(xln(7))+1) is 1/(2ln(7)x)+1/2