What is ln(sqrt(ab))+ln(a/e) ?

The solution to ln(sqrt(ab))+ln(a/e) is ln((asqrt(ab))/e)

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simplify ln(sqrt(ab))+ln(a/e)

simplify

ln (ab) + ln (\frac{a}{e})

ln (\frac{a ab}{e})

Solution steps

ln (ab) + ln (\frac{a}{e})

Apply log rule:

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

ln (ab) + ln (\frac{a}{e}) = ln (\frac{a}{e} ab)

= ln (\frac{a}{e} ab)

Multiply fractions:

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

= ln (\frac{a ab}{e})

lo g_{2} (x^{5})

lo g_{a} (\frac{x ^{3} y}{z ^{2}})

- lo g_{10} (6 \times 1 0^{- 5})

lo g_{10} (5 x + 2) - lo g_{10} (x)

What is ln(sqrt(ab))+ln(a/e) ?
The solution to ln(sqrt(ab))+ln(a/e) is ln((asqrt(ab))/e)