What is simplify-1/70 ln((4.3(2.3))/(6.7(8.7))) ?

The solution to simplify-1/70 ln((4.3(2.3))/(6.7(8.7))) is -1/70 (ln(9.89)-ln(58.29))

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simplify-1/70 ln((4.3(2.3))/(6.7(8.7)))

simplify

- \frac{1}{70} ln (\frac{4.3 ( 2.3 )}{6.7 ( 8.7 )})

- \frac{1}{70} (ln (9.89) - ln (58.29))

Decimal Notation

0.02534 \dots

Solution steps

- \frac{1}{70} ln (\frac{4.3 ( 2.3 )}{6.7 ( 8.7 )})

Apply log rule:

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

ln (\frac{4.3 ( 2.3 )}{6.7 ( 8.7 )}) = ln (4.3 (2.3)) - ln (6.7 (8.7))

= - \frac{1}{70} (ln ((2.3) \cdot 4.3) - ln (6.7 (8.7)))

Remove parentheses:

(a) = a

= - \frac{1}{70} (ln (4.3 \cdot 2.3) - ln (6.7 \cdot 8.7))

Remove parentheses:

(a) = a

= - \frac{1}{70} (ln (4.3 \cdot 2.3) - ln (6.7 \cdot 8.7))

Multiply the numbers:

4.3 \cdot 2.3 = 9.89

= - \frac{1}{70} (ln (9.89) - ln (6.7 \cdot 8.7))

Multiply the numbers:

6.7 \cdot 8.7 = 58.29

= - \frac{1}{70} (ln (9.89) - ln (58.29))

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What is simplify-1/70 ln((4.3(2.3))/(6.7(8.7))) ?
The solution to simplify-1/70 ln((4.3(2.3))/(6.7(8.7))) is -1/70 (ln(9.89)-ln(58.29))