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Popular >

simplify ln(1.3*10^{12})

Solution

simplify

ln (1.3 \cdot 1 0^{12})

Solution

ln (1.3) + 12 ln (10)

+1

Decimal Notation

27.89338 \dots

Solution steps

ln (1.3 \cdot 1 0^{12})

Apply log rule:

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

ln (1.3 \cdot 1 0^{12}) = ln (1.3) + ln (1 0^{12})

= ln (1.3) + ln (1 0^{12})

Apply log rule:

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

ln (1 0^{12}) = 12 ln (10)

= ln (1.3) + 12 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(1.3*10^{12}) ?
The solution to ln(1.3*10^{12}) is ln(1.3)+12ln(10)