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Popular >

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

Solution

simplify

4 ln (2) + 2 ln (x)

Solution

ln (16 x^{2})

Solution steps

4 ln (2) + 2 ln (x)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

2^{4} = 16

= ln (16 x^{2})

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- (\frac{3}{9}) lo g_{2} (\frac{3}{9}) - (\frac{6}{9}) lo g_{2} (\frac{6}{9})

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3 lo g_{2} (x) + \frac{1}{2} lo g_{2} (x + 1)

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5 lo g_{4} (x) + \frac{1}{4} lo g_{4} (y) - 2

join (600)/(e^{\frac{2ln(5)){13}}}join

\frac{600}{e ^{\frac{2 l n ( 5 )}{13}}}

Frequently Asked Questions (FAQ)

What is 4ln(2)+2ln(x) ?
The solution to 4ln(2)+2ln(x) is ln(16x^2)