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Popular >

simplify log_{10}(10e^4)

Solution

simplify

lo g_{10} (10 e^{4})

Solution

1 + 4 lo g_{10} (e)

+1

Decimal Notation

2.73717 \dots

Solution steps

lo g_{10} (10 e^{4})

Apply log rule:

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

lo g_{10} (10 e^{4}) = lo g_{10} (10) + lo g_{10} (e^{4})

= lo g_{10} (10) + lo g_{10} (e^{4})

Apply log rule:

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

lo g_{10} (e^{4}) = 4 lo g_{10} (e)

= lo g_{10} (10) + 4 lo g_{10} (e)

Apply log rule:

lo g_{a} (a) = 1

= 1 + 4 lo g_{10} (e)

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Frequently Asked Questions (FAQ)

What is log_{10}(10e^4) ?
The solution to log_{10}(10e^4) is 1+4log_{10}(e)