What is ln(e^{-3x}sqrt(2x-5))-ln((6-5x)^4) ?

The solution to ln(e^{-3x}sqrt(2x-5))-ln((6-5x)^4) is ln((e^{-3x}sqrt(2x-5))/((6-5x)^4))

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simplify ln(e^{-3x}sqrt(2x-5))-ln((6-5x)^4)

simplify

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

ln (\frac{e ^{- 3 x} 2 x - 5}{( 6 - 5 x ) ^{4}})

Solution steps

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (e^{- 3 x} 2 x - 5) - ln ((6 - 5 x)^{4}) = ln (\frac{e ^{- 3 x} 2 x - 5}{( - 5 x + 6 ) ^{4}})

= ln (\frac{e ^{- 3 x} 2 x - 5}{( 6 - 5 x ) ^{4}})

ln (\frac{9}{x ^{2} + 8})

\frac{lo g _{10} ( x + h ) - lo g _{10} ( x )}{h}

lo g_{4} (16 k^{8} x)

5 lo g_{2} (x) - 3 lo g_{2} (y)

lo g_{b} (\frac{x ^{4}}{z ^{2}})

What is ln(e^{-3x}sqrt(2x-5))-ln((6-5x)^4) ?
The solution to ln(e^{-3x}sqrt(2x-5))-ln((6-5x)^4) is ln((e^{-3x}sqrt(2x-5))/((6-5x)^4))