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Popular >

simplify 2ln(2x)-ln(2x)

Solution

simplify

2 ln (2 x) - ln (2 x)

Solution

ln (x) + ln (2)

Solution steps

2 ln (2 x) - ln (2 x)

Apply log rule:

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

2 ln (2 x) = 2 ln (2) + 2 ln (x), ln (2 x) = ln (2) + ln (x)

= 2 ln (2) + 2 ln (x) - (ln (x) + ln (2))

- (ln (2) + ln (x)) : - ln (2) - ln (x)

= 2 ln (2) + 2 ln (x) - ln (2) - ln (x)

Simplify

2 ln (2) + 2 ln (x) - ln (2) - ln (x) : ln (x) + ln (2)

= ln (x) + ln (2)

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Frequently Asked Questions (FAQ)

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