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Popular >

simplify 2ln(2)-2ln(7)

Solution

simplify

2 ln (2) - 2 ln (7)

Solution

ln (\frac{4}{49})

+1

Decimal

- 2.50552 \dots

Solution steps

2 ln (2) - 2 ln (7)

Apply log rule:

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

2 ln (2) = ln (2^{2})

= ln (2^{2}) - 2 ln (7)

Apply log rule:

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

2 ln (7) = ln (7^{2})

= ln (2^{2}) - ln (7^{2})

Apply log rule:

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

ln (2^{2}) - ln (7^{2}) = ln (\frac{2 ^{2}}{7 ^{2}})

= ln (\frac{2 ^{2}}{7 ^{2}})

\frac{2 ^{2}}{7 ^{2}} = \frac{4}{49}

= ln (\frac{4}{49})

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Frequently Asked Questions (FAQ)

What is 2ln(2)-2ln(7) ?
The solution to 2ln(2)-2ln(7) is ln(4/49)