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Popular >

simplify ln(0.69*10^3)

Solution

simplify

ln (0.69 \cdot 1 0^{3})

Solution

ln (0.69) + 3 ln (10)

+1

Decimal Notation

6.53669 \dots

Solution steps

ln (0.69 \cdot 1 0^{3})

Apply log rule:

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

ln (0.69 \cdot 1 0^{3}) = ln (0.69) + ln (1 0^{3})

= ln (0.69) + 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 (0.69) + 3 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(0.69*10^3) ?
The solution to ln(0.69*10^3) is ln(0.69)+3ln(10)