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Popular >

simplify 2ln(5)+2ln(x)-3

Solution

simplify

2 ln (5) + 2 ln (x) - 3

Solution

ln (25 x^{2}) - 3

Solution steps

2 ln (5) + 2 ln (x) - 3

Apply log rule:

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

2 ln (5) = ln (5^{2})

= ln (5^{2}) + 2 ln (x) - 3

Apply log rule:

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

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

= ln (5^{2}) + ln (x^{2}) - 3

Apply log rule:

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

ln (5^{2}) + ln (x^{2}) = ln (5^{2} x^{2})

= ln (5^{2} x^{2}) - 3

5^{2} = 25

= ln (25 x^{2}) - 3

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Frequently Asked Questions (FAQ)

What is 2ln(5)+2ln(x)-3 ?
The solution to 2ln(5)+2ln(x)-3 is ln(25x^2)-3