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Popular >

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

Solution

simplify

5 ln (5) + 5 ln (x)

Solution

ln (3125 x^{5})

Solution steps

5 ln (5) + 5 ln (x)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

5^{5} = 3125

= ln (3125 x^{5})

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Frequently Asked Questions (FAQ)

What is 5ln(5)+5ln(x) ?
The solution to 5ln(5)+5ln(x) is ln(3125x^5)