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Popular >

simplify log_{10}(5e^9)

Solution

simplify

lo g_{10} (5 e^{9})

Solution

lo g_{10} (5) + 9 lo g_{10} (e)

+1

Decimal Notation

4.60762 \dots

Solution steps

lo g_{10} (5 e^{9})

Apply log rule:

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

lo g_{10} (5 e^{9}) = lo g_{10} (5) + lo g_{10} (e^{9})

= lo g_{10} (5) + lo g_{10} (e^{9})

Apply log rule:

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

lo g_{10} (e^{9}) = 9 lo g_{10} (e)

= lo g_{10} (5) + 9 lo g_{10} (e)

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Frequently Asked Questions (FAQ)

What is log_{10}(5e^9) ?
The solution to log_{10}(5e^9) is log_{10}(5)+9log_{10}(e)