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Popular >

simplify ln(5.6*10^{11})

Solution

simplify

ln (5.6 \cdot 1 0^{11})

Solution

ln (5.6) + 11 ln (10)

+1

Decimal Notation

27.05120 \dots

Solution steps

ln (5.6 \cdot 1 0^{11})

Apply log rule:

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

ln (5.6 \cdot 1 0^{11}) = ln (5.6) + ln (1 0^{11})

= ln (5.6) + ln (1 0^{11})

Apply log rule:

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

ln (1 0^{11}) = 11 ln (10)

= ln (5.6) + 11 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(5.6*10^{11}) ?
The solution to ln(5.6*10^{11}) is ln(5.6)+11ln(10)