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Popular >

simplify ln(16*10^3)

Solution

simplify

ln (16 \cdot 1 0^{3})

Solution

4 ln (2) + 3 ln (10)

+1

Decimal Notation

9.68034 \dots

Solution steps

ln (16 \cdot 1 0^{3})

Apply log rule:

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

ln (16 \cdot 1 0^{3}) = ln (16) + ln (1 0^{3})

= ln (16) + ln (1 0^{3})

Apply log rule:

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

ln (1 0^{3}) = 3 ln (10)

= ln (16) + 3 ln (10)

ln (16) = 4 ln (2)

= 4 ln (2) + 3 ln (10)

Popular Examples

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expand log_{9}(9/y)expand

lo g_{9} (\frac{9}{y})

Frequently Asked Questions (FAQ)

What is ln(16*10^3) ?
The solution to ln(16*10^3) is 4ln(2)+3ln(10)