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Popular >

simplify ((ln(x)+2ln(2)))/2

Solution

simplify

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

Solution

\frac{ln ( 4 x )}{2}

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (2) = ln (2^{2})

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

2^{2} = 4

= \frac{ln ( 4 x )}{2}

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Frequently Asked Questions (FAQ)

What is ((ln(x)+2ln(2)))/2 ?
The solution to ((ln(x)+2ln(2)))/2 is (ln(4x))/2