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Popular >

simplify ln(12*200^4)

Solution

simplify

ln (12 \cdot 20 0^{4})

Solution

ln (12) + 4 ln (200)

+1

Decimal Notation

23.67817 \dots

Solution steps

ln (12 \cdot 20 0^{4})

Apply log rule:

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

ln (12 \cdot 20 0^{4}) = ln (12) + ln (20 0^{4})

= ln (12) + ln (20 0^{4})

Apply log rule:

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

ln (20 0^{4}) = 4 ln (200)

= ln (12) + 4 ln (200)

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Frequently Asked Questions (FAQ)

What is ln(12*200^4) ?
The solution to ln(12*200^4) is ln(12)+4ln(200)