What is ln(5)+2ln(x)+3(x^2+5) ?

The solution to ln(5)+2ln(x)+3(x^2+5) is ln(5x^2)+3(x^2+5)

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simplify ln(5)+2ln(x)+3(x^2+5)

simplify

ln (5) + 2 ln (x) + 3 (x^{2} + 5)

ln (5 x^{2}) + 3 (x^{2} + 5)

Solution steps

ln (5) + 2 ln (x) + 3 (x^{2} + 5)

Apply log rule:

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

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

= ln (5) + ln (x^{2}) + 3 (x^{2} + 5)

Apply log rule:

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

ln (5) + ln (x^{2}) = ln (5 x^{2})

= ln (5 x^{2}) + 3 (x^{2} + 5)

\frac{28}{0.693} \cdot ln (\frac{100}{9})

ln (6 (ln (x) - 5))

5 lo g_{10} (x) - \frac{1}{2} lo g_{10} (y)

\frac{33}{10} ln (6)

ln (a^{2} e^{- \frac{b}{m} t})

What is ln(5)+2ln(x)+3(x^2+5) ?
The solution to ln(5)+2ln(x)+3(x^2+5) is ln(5x^2)+3(x^2+5)