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Popular >

simplify ln(x*x)

Solution

simplify

ln (x \cdot x)

Solution

2 ln (x)

Solution steps

ln (xx)

Apply log rule:

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

ln (xx) = ln (x) + ln (x)

= ln (x) + ln (x)

Add similar elements:

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

= 2 ln (x)

Popular Examples

simplify log_{10}(([0.5])/([0.4]))+3.77 simplify

lo g_{10} (\frac{[ 0.5 ]}{[ 0.4 ]}) + 3.77

simplify ln((2x+1)/(x+2))simplify

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

simplify log_{e}(y/2)simplify

lo g_{e} (\frac{y}{2})

join (5ln(29/74))/(ln(59/74))join

\frac{5 ln ( \frac{29}{74} )}{ln ( \frac{59}{74} )}

simplify 20*log_{10}((x*2pi*3)/((10*0.02)))simplify

20 \cdot lo g_{10} (\frac{x \cdot 2 π \cdot 3}{( 10 \cdot 0.02 )})

Frequently Asked Questions (FAQ)

What is ln(x*x) ?
The solution to ln(x*x) is 2ln(x)