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Popular >

simplify ln(6)+ln(21)-ln(7)

Solution

simplify

ln (6) + ln (21) - ln (7)

Solution

ln (18)

+1

Decimal Notation

2.89037 \dots

Solution steps

ln (6) + ln (21) - ln (7)

Apply log rule:

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

ln (6) + ln (21) = ln (6 \cdot 21)

= ln (6 \cdot 21) - ln (7)

Multiply the numbers:

6 \cdot 21 = 126

= ln (126) - ln (7)

Apply log rule:

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

ln (126) - ln (7) = ln (\frac{126}{7})

= ln (\frac{126}{7})

Divide the numbers:

\frac{126}{7} = 18

= ln (18)

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Frequently Asked Questions (FAQ)

What is ln(6)+ln(21)-ln(7) ?
The solution to ln(6)+ln(21)-ln(7) is ln(18)