What is simplify-ln(10(0.00081)/(1e^9)) ?

The solution to simplify-ln(10(0.00081)/(1e^9)) is -ln(10)-ln((0.00081)/(e^9))

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simplify-ln(10(0.00081)/(1e^9))

simplify

- ln (10 \frac{0.00081}{1 e ^{9}})

- ln (10) - ln (\frac{0.00081}{e ^{9}})

Decimal Notation

13.81589 \dots

Solution steps

- ln (10 \cdot \frac{0.00081}{1 \cdot e ^{9}})

Apply log rule:

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

ln (10 \cdot \frac{0.00081}{1 \cdot e ^{9}}) = ln (10) + ln (\frac{0.00081}{1 \cdot e ^{9}})

= - (ln (10) + ln (\frac{0.00081}{1 \cdot e ^{9}}))

Multiply:

1 \cdot e^{9} = e^{9}

= - (ln (10) + ln (\frac{0.00081}{e ^{9}}))

Distribute parentheses

= - (ln (10)) - (ln (\frac{0.00081}{e ^{9}}))

Apply minus-plus rules

+ (- a) = - a

= - ln (10) - ln (\frac{0.00081}{e ^{9}})

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What is simplify-ln(10(0.00081)/(1e^9)) ?
The solution to simplify-ln(10(0.00081)/(1e^9)) is -ln(10)-ln((0.00081)/(e^9))