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Popular >

simplify ln(3.154*10^{10})

Solution

simplify

ln (3.154 \cdot 1 0^{10})

Solution

ln (3.154) + 10 ln (10)

+1

Decimal Notation

24.17452 \dots

Solution steps

ln (3.154 \cdot 1 0^{10})

Apply log rule:

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

ln (3.154 \cdot 1 0^{10}) = ln (3.154) + ln (1 0^{10})

= ln (3.154) + ln (1 0^{10})

Apply log rule:

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

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

= ln (3.154) + 10 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(3.154*10^{10}) ?
The solution to ln(3.154*10^{10}) is ln(3.154)+10ln(10)