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Popular >

simplify log_{2}(8e^{+9})

Solution

simplify

lo g_{2} (8 e^{+ 9})

Solution

3 + 9 lo g_{2} (e)

+1

Decimal Notation

15.98425 \dots

Solution steps

lo g_{2} (8 e^{9})

Apply log rule:

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

lo g_{2} (8 e^{9}) = lo g_{2} (8) + lo g_{2} (e^{9})

= lo g_{2} (8) + lo g_{2} (e^{9})

Apply log rule:

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

lo g_{2} (e^{9}) = 9 lo g_{2} (e)

= lo g_{2} (8) + 9 lo g_{2} (e)

lo g_{2} (8) = 3

= 3 + 9 lo g_{2} (e)

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Frequently Asked Questions (FAQ)

What is log_{2}(8e^{+9}) ?
The solution to log_{2}(8e^{+9}) is 3+9log_{2}(e)