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Popular >

simplify ln(6)-ln(3)+ln(2x)

Solution

simplify

ln (6) - ln (3) + ln (2 x)

Solution

ln (4 x)

Solution steps

ln (6) - ln (3) + ln (2 x)

Apply log rule:

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

ln (6) - ln (3) = ln (\frac{6}{3})

= ln (\frac{6}{3}) + ln (2 x)

Divide the numbers:

\frac{6}{3} = 2

= ln (2) + ln (2 x)

Apply log rule:

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

ln (2) + ln (2 x) = ln (2 \cdot 2 x)

= ln (2 \cdot 2 x)

Multiply the numbers:

2 \cdot 2 = 4

= ln (4 x)

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Frequently Asked Questions (FAQ)

What is ln(6)-ln(3)+ln(2x) ?
The solution to ln(6)-ln(3)+ln(2x) is ln(4x)