What is simplify-(2ln(10)+ln(97))/6 ?

The solution to simplify-(2ln(10)+ln(97))/6 is -(ln(9700))/6

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simplify-(2ln(10)+ln(97))/6

simplify

- \frac{2 ln ( 10 ) + ln ( 97 )}{6}

- \frac{ln ( 9700 )}{6}

Decimal Notation

- 1.52998 \dots

Solution steps

- \frac{2 ln ( 10 ) + ln ( 97 )}{6}

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (10) = ln (1 0^{2})

= - \frac{ln ( 97 ) + ln ( 1 0 ^{2} )}{6}

Apply log rule:

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

ln (1 0^{2}) + ln (97) = ln (1 0^{2} \cdot 97)

= - \frac{ln ( 1 0 ^{2} \cdot 97 )}{6}

1 0^{2} \cdot 97 = 9700

= - \frac{ln ( 9700 )}{6}

- ln (2.05 e^{- 4})

ln (z) - 3 ln (x)

6 [ln (x) - ln (x + 1) - ln (x - 1)]

100 \cdot ln (209) - ln (193)

lo g_{10} (9 x)

What is simplify-(2ln(10)+ln(97))/6 ?
The solution to simplify-(2ln(10)+ln(97))/6 is -(ln(9700))/6