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Popular >

simplify ln(18*10^2)

Solution

simplify

ln (18 \cdot 1 0^{2})

Solution

ln (18) + 2 ln (10)

+1

Decimal

7.49554 \dots

Solution steps

ln (18 \cdot 1 0^{2})

Apply log rule:

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

ln (18 \cdot 1 0^{2}) = ln (18) + ln (1 0^{2})

= ln (18) + ln (1 0^{2})

Apply log rule:

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

ln (1 0^{2}) = 2 ln (10)

= ln (18) + 2 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(18*10^2) ?
The solution to ln(18*10^2) is ln(18)+2ln(10)