What is simplify-ln(5)-ln(7)+ln(3) ?

The solution to simplify-ln(5)-ln(7)+ln(3) is ln(3/35)

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simplify-ln(5)-ln(7)+ln(3)

simplify

- ln (5) - ln (7) + ln (3)

ln (\frac{3}{35})

Decimal Notation

- 2.45673 \dots

Solution steps

- ln (5) - ln (7) + ln (3)

Rewrite

- ln (5) - ln (7)

- (ln (5) + ln (7))

= - (ln (5) + ln (7)) + ln (3)

Apply log rule:

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

ln (5) + ln (7) = ln (5 \cdot 7)

= - ln (5 \cdot 7) + ln (3)

Multiply the numbers:

5 \cdot 7 = 35

= - ln (35) + ln (3)

Apply log rule:

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

ln (3) - ln (35) = ln (\frac{3}{35})

= ln (\frac{3}{35})

lo g_{10} (\frac{y ^{9}}{x ^{8}})

ln (\frac{1}{3}) - e^{- (3)^{3}}

lo g_{1.8} (\frac{3.57}{3.92}) + 50.65 - 51.6

ln (\frac{1}{2}) - 2 + 3 ln (2)

ln (9) + ln (2)

What is simplify-ln(5)-ln(7)+ln(3) ?
The solution to simplify-ln(5)-ln(7)+ln(3) is ln(3/35)