What is ln((2x+1)^5(x^4-3)^6) ?

The solution to ln((2x+1)^5(x^4-3)^6) is 5ln(2x+1)+6ln(x^4-3)

Popular >

simplify ln((2x+1)^5(x^4-3)^6)

simplify

ln ((2 x + 1)^{5} (x^{4} - 3)^{6})

5 ln (2 x + 1) + 6 ln (x^{4} - 3)

Solution steps

ln ((2 x + 1)^{5} (x^{4} - 3)^{6})

Apply log rule:

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

ln ((2 x + 1)^{5} (x^{4} - 3)^{6}) = ln ((2 x + 1)^{5}) + ln ((x^{4} - 3)^{6})

= ln ((2 x + 1)^{5}) + ln ((x^{4} - 3)^{6})

Apply log rule:

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

ln ((2 x + 1)^{5}) = 5 ln (2 x + 1)

= 5 ln (2 x + 1) + ln ((x^{4} - 3)^{6})

Apply log rule:

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

ln ((x^{4} - 3)^{6}) = 6 ln (x^{4} - 3)

= 5 ln (2 x + 1) + 6 ln (x^{4} - 3)

ln (\frac{937.8}{30.84})

- lo g_{10} (8.65 \cdot 1 0^{- 9})

ln (a (2 + 3))

d (lo g_{10} (x) + lo g_{10} (y)) d x

lo g_{10} (b y) - 3 lo g_{10} (b) z

What is ln((2x+1)^5(x^4-3)^6) ?
The solution to ln((2x+1)^5(x^4-3)^6) is 5ln(2x+1)+6ln(x^4-3)