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Popular >

simplify 3ln(x)+5ln(3)

Solution

simplify

3 ln (x) + 5 ln (3)

Solution

ln (243 x^{3})

Solution steps

3 ln (x) + 5 ln (3)

Apply log rule:

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

3 ln (x) = ln (x^{3})

= ln (x^{3}) + 5 ln (3)

Apply log rule:

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

5 ln (3) = ln (3^{5})

= ln (x^{3}) + ln (3^{5})

Apply log rule:

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

ln (x^{3}) + ln (3^{5}) = ln (3^{5} x^{3})

= ln (3^{5} x^{3})

3^{5} = 243

= ln (243 x^{3})

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Frequently Asked Questions (FAQ)

What is 3ln(x)+5ln(3) ?
The solution to 3ln(x)+5ln(3) is ln(243x^3)