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Popular >

simplify ln(1/(9+9e^x))

Solution

simplify

ln (\frac{1}{9 + 9 e ^{x}})

Solution

- ln (9 e^{x} + 9)

Solution steps

ln (\frac{1}{9 + 9 e ^{x}})

Apply log rule:

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

ln (\frac{1}{9 + 9 e ^{x}}) = ln (1) - ln (9 + 9 e^{x})

= ln (1) - ln (9 e^{x} + 9)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (9 e^{x} + 9)

0 - ln (9 + 9 e^{x}) = - ln (9 + 9 e^{x})

= - ln (9 e^{x} + 9)

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Frequently Asked Questions (FAQ)

What is ln(1/(9+9e^x)) ?
The solution to ln(1/(9+9e^x)) is -ln(9e^x+9)