What is 4ln(4x+8)+3ln(2x+7) ?

The solution to 4ln(4x+8)+3ln(2x+7) is ln((4x+8)^4(2x+7)^3)

Popular >

simplify 4ln(4x+8)+3ln(2x+7)

simplify

4 ln (4 x + 8) + 3 ln (2 x + 7)

ln ((4 x + 8)^{4} (2 x + 7)^{3})

Solution steps

4 ln (4 x + 8) + 3 ln (2 x + 7)

Apply log rule:

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

4 ln (4 x + 8) = ln ((4 x + 8)^{4})

= ln ((4 x + 8)^{4}) + 3 ln (2 x + 7)

Apply log rule:

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

3 ln (2 x + 7) = ln ((2 x + 7)^{3})

= ln ((4 x + 8)^{4}) + ln ((2 x + 7)^{3})

Apply log rule:

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

ln ((4 x + 8)^{4}) + ln ((2 x + 7)^{3}) = ln ((4 x + 8)^{4} (2 x + 7)^{3})

= ln ((4 x + 8)^{4} (2 x + 7)^{3})

lo g_{10} (\frac{y}{10})

ln (\frac{( 1 + e ^{x} )}{( 1 - e ^{- x} )})

lo g_{10} (a) + 3 lo g_{10} (c) - 5 lo g_{10} (b)

ln (v) - ln ∣ x - 1 ∣ + 2 ln ∣ x ∣

ln (\frac{( x - 1 )}{x + 1})

What is 4ln(4x+8)+3ln(2x+7) ?
The solution to 4ln(4x+8)+3ln(2x+7) is ln((4x+8)^4(2x+7)^3)