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Popular >

simplify ln(10)-ln(70)

Solution

simplify

ln (10) - ln (70)

Solution

- ln (7)

+1

Decimal Notation

- 1.94591 \dots

Solution steps

ln (10) - ln (70)

Apply log rule:

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

ln (10) - ln (70) = ln (\frac{10}{70})

= ln (\frac{10}{70})

Cancel the common factor:

10

= ln (\frac{1}{7})

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= - ln (7)

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Frequently Asked Questions (FAQ)

What is ln(10)-ln(70) ?
The solution to ln(10)-ln(70) is -ln(7)