What is ln(8)+5ln(x)+5ln(x^2+7) ?

The solution to ln(8)+5ln(x)+5ln(x^2+7) is ln(8x^5(x^2+7)^5)

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simplify ln(8)+5ln(x)+5ln(x^2+7)

simplify

ln (8) + 5 ln (x) + 5 ln (x^{2} + 7)

ln (8 x^{5} (x^{2} + 7)^{5})

Solution steps

ln (8) + 5 ln (x) + 5 ln (x^{2} + 7)

Apply log rule:

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

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

= ln (8) + ln (x^{5}) + 5 ln (x^{2} + 7)

Apply log rule:

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

ln (8) + ln (x^{5}) = ln (8 x^{5})

= ln (8 x^{5}) + 5 ln (x^{2} + 7)

Apply log rule:

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

5 ln (x^{2} + 7) = ln ((x^{2} + 7)^{5})

= ln (8 x^{5}) + ln ((x^{2} + 7)^{5})

Apply log rule:

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

ln (8 x^{5}) + ln ((x^{2} + 7)^{5}) = ln (8 x^{5} (x^{2} + 7)^{5})

= ln (8 x^{5} (x^{2} + 7)^{5})

ln (\frac{N}{N o})

ln (3.8) + ln (9.4)

ln (\frac{66}{78})

ln (a) - 3 ln (b) + 5 ln (c)

ln (- R) + ln (R 2)

What is ln(8)+5ln(x)+5ln(x^2+7) ?
The solution to ln(8)+5ln(x)+5ln(x^2+7) is ln(8x^5(x^2+7)^5)