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Popular >

simplify ln(100*(1+r)^{60})

Solution

simplify

ln (100 \cdot (1 + r)^{60})

Solution

2 ln (10) + 60 ln (1 + r)

Solution steps

ln (100 (1 + r)^{60})

Apply log rule:

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

ln (100 (1 + r)^{60}) = ln (100) + ln ((1 + r)^{60})

= ln (100) + ln ((r + 1)^{60})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln ((1 + r)^{60}) = 60 ln (1 + r)

= ln (100) + 60 ln (1 + r)

ln (100) = 2 ln (10)

= 2 ln (10) + 60 ln (r + 1)

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Frequently Asked Questions (FAQ)

What is ln(100*(1+r)^{60}) ?
The solution to ln(100*(1+r)^{60}) is 2ln(10)+60ln(1+r)