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Popular >

simplify ln(3*10^{14})

Solution

simplify

ln (3 \cdot 1 0^{14})

Solution

ln (3) + 14 ln (10)

+1

Decimal Notation

33.33480 \dots

Solution steps

ln (3 \cdot 1 0^{14})

Apply log rule:

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

ln (3 \cdot 1 0^{14}) = ln (3) + ln (1 0^{14})

= ln (3) + ln (1 0^{14})

Apply log rule:

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

ln (1 0^{14}) = 14 ln (10)

= ln (3) + 14 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(3*10^{14}) ?
The solution to ln(3*10^{14}) is ln(3)+14ln(10)