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Popular >

simplify log_{5}(16)

Solution

simplify

lo g_{5} (16)

Solution

4 lo g_{5} (2)

+1

Decimal Notation

1.72270 \dots

Solution steps

lo g_{5} (16)

Factor the number:

16 = 2^{4}

= lo g_{5} (2^{4})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{5} (2^{4}) = 4 lo g_{5} (2)

= 4 lo g_{5} (2)

Popular Examples

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simplify sqrt(0.9)simplify

0.9

b^2+9b+7<= 10000

b^{2} + 9 b + 7 \leq 10000

simplify ln(2)-ln(4)simplify

ln (2) - ln (4)

3 c + 1 \geq 10

Frequently Asked Questions (FAQ)

What is log_{5}(16) ?
The solution to log_{5}(16) is 4log_{5}(2)