What is ln(sqrt(st))+ln(s/e) ?

The solution to ln(sqrt(st))+ln(s/e) is ln((ssqrt(st))/e)

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simplify ln(sqrt(st))+ln(s/e)

simplify

ln (s t) + ln (\frac{s}{e})

ln (\frac{s s t}{e})

Solution steps

ln (s t) + ln (\frac{s}{e})

Apply log rule:

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

ln (s t) + ln (\frac{s}{e}) = ln (\frac{s}{e} s t)

= ln (\frac{s}{e} s t)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= ln (\frac{s s t}{e})

lo g_{4} (x y)

lo g_{6} (\frac{216}{y})

ln (x) + ln (y) + ln (w) + 6 ln (z)

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

- lo g_{10} (3.9 \cdot 1 0^{- 4})

What is ln(sqrt(st))+ln(s/e) ?
The solution to ln(sqrt(st))+ln(s/e) is ln((ssqrt(st))/e)