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Popular >

simplify ln(x)+ln(x-2)+ln(4x)

Solution

simplify

ln (x) + ln (x - 2) + ln (4 x)

Solution

ln (4 x^{2} (x - 2))

Solution steps

ln (x) + ln (x - 2) + ln (4 x)

Apply log rule:

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

ln (x) + ln (x - 2) = ln (x (x - 2))

= ln (x (x - 2)) + ln (4 x)

Apply log rule:

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

ln (x (x - 2)) + ln (4 x) = ln (4 xx (x - 2))

= ln (4 xx (x - 2))

Simplify

x (x - 2) \cdot 4 x : 4 x^{2} (x - 2)

= ln (4 x^{2} (x - 2))

Popular Examples

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8 lo g_{5} (u) + 4 lo g_{5} (v)

expand log_{10}((4x)^5)expand

lo g_{10} ((4 x)^{5})

Frequently Asked Questions (FAQ)

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