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Popular >

simplify ln(4)+ln(8)-ln(16)

Solution

simplify

ln (4) + ln (8) - ln (16)

Solution

ln (2)

+1

Decimal Notation

0.69314 \dots

Solution steps

ln (4) + ln (8) - ln (16)

Apply log rule:

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

ln (4) + ln (8) = ln (4 \cdot 8)

= ln (4 \cdot 8) - ln (16)

Multiply the numbers:

4 \cdot 8 = 32

= ln (32) - ln (16)

Apply log rule:

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

ln (32) - ln (16) = ln (\frac{32}{16})

= ln (\frac{32}{16})

Divide the numbers:

\frac{32}{16} = 2

= ln (2)

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Frequently Asked Questions (FAQ)

What is ln(4)+ln(8)-ln(16) ?
The solution to ln(4)+ln(8)-ln(16) is ln(2)