What is log_{4}((e^x+9)/(-4)) ?

The solution to log_{4}((e^x+9)/(-4)) is log_{4}(e^x+9)-log_{4}(-4)

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simplify log_{4}((e^x+9)/(-4))

simplify

lo g_{4} (\frac{e ^{x} + 9}{- 4})

lo g_{4} (e^{x} + 9) - lo g_{4} (- 4)

Solution steps

lo g_{4} (\frac{e ^{x} + 9}{- 4})

Apply log rule:

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

lo g_{4} (\frac{e ^{x} + 9}{- 4}) = lo g_{4} (e^{x} + 9) - lo g_{4} (- 4)

= lo g_{4} (e^{x} + 9) - lo g_{4} (- 4)

ln (\frac{8192}{625})

12.75 + lo g_{10} (\frac{0.05}{0.15})

lo g_{\frac{1}{2}} (\frac{1}{50})

16 x + ln (16 x)

182000 \cdot [ln (0.45) - ln (1.3)]

What is log_{4}((e^x+9)/(-4)) ?
The solution to log_{4}((e^x+9)/(-4)) is log_{4}(e^x+9)-log_{4}(-4)