What is 256(ln(45+3)-ln(45+4)) ?

The solution to 256(ln(45+3)-ln(45+4)) is 256ln(48/49)

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simplify 256(ln(45+3)-ln(45+4))

simplify

256 (ln (45 + 3) - ln (45 + 4))

256 ln (\frac{48}{49})

Decimal Notation

- 5.27853 \dots

Solution steps

256 (ln (45 + 3) - ln (45 + 4))

Apply log rule:

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

ln (45 + 3) - ln (45 + 4) = ln (\frac{45 + 3}{45 + 4})

= 256 ln (\frac{45 + 3}{45 + 4})

\frac{45 + 3}{45 + 4} = \frac{48}{49}

= 256 ln (\frac{48}{49})

- ln (6.3 e) - 5

3 lo g_{4} (u) - 6 lo g_{4} (v)

(ln (2) - 2 ln (5)) - (ln (1) - 2 ln (4))

2 ln (x) + ln (v^{2} + 2)

ln (\frac{2 ^{- 3}}{3 ^{- 4} 5 ^{- 2}})

What is 256(ln(45+3)-ln(45+4)) ?
The solution to 256(ln(45+3)-ln(45+4)) is 256ln(48/49)