What is simplify-2ln(2^2)+2ln(x) ?

The solution to simplify-2ln(2^2)+2ln(x) is ln((x^2)/(16))

Popular >

simplify-2ln(2^2)+2ln(x)

simplify

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

ln (\frac{x ^{2}}{16})

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

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

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

Simplify

\frac{x ^{2}}{( 2 ^{2} ) ^{2}} : \frac{x ^{2}}{16}

= ln (\frac{x ^{2}}{16})

ln (cos (5^{x}) 5^{x} ln (5))

ln (x - 6) - ln (x + 6)

ln (\frac{1}{2}) \cdot 20

ln (\frac{8235744}{8831079})

ln (x) - ln (x)

What is simplify-2ln(2^2)+2ln(x) ?
The solution to simplify-2ln(2^2)+2ln(x) is ln((x^2)/(16))