simplify 3ln(17x^2)

Solution

simplify

3 ln (17 x^{2})

3 ln (17) + 6 ln (x)

Solution steps

3 ln (17 x^{2})

Apply log rule:

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

3 ln (17 x^{2}) = 3 ln (17) + 3 ln (x^{2})

= 3 ln (17) + 3 ln (x^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= 3 ln (17) + 3 \cdot 2 ln (x)

Multiply the numbers:

3 \cdot 2 = 6

= 3 ln (17) + 6 ln (x)

ln (\frac{3.64}{23}) + \frac{2}{23} ln (23)

\frac{( - ln ( 83 ) + ln ( 175 ) )}{39}

ln (3 x^{4} y)

ln (x) + 4 ln (2 - \frac{y}{x})

2 lo g_{10} (x + 3) - 3 lo g_{10} (x)