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Popular >

simplify log_{10}(16)

Solution

simplify

lo g_{10} (16)

Solution

4 lo g_{10} (2)

+1

Decimal Notation

1.20411 \dots

Solution steps

lo g_{10} (16)

Factor the number:

16 = 2^{4}

= lo g_{10} (2^{4})

Apply log rule:

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

lo g_{10} (2^{4}) = 4 lo g_{10} (2)

= 4 lo g_{10} (2)

Popular Examples

simplify (sqrt(6))/(sqrt(54))simplify

\frac{6}{54}

4 m^{2} - 12 m > 0

log_{2}(2)x^2+log_{2}(9)=1

lo g_{2} (2) x^{2} + lo g_{2} (9) = 1

- 3 t + 6 = 0

factor 3(x-6)^2+2(x-6)^4-3/((x-6))factor

3 (x - 6)^{2} + 2 (x - 6)^{4} - \frac{3}{( x - 6 )}

Frequently Asked Questions (FAQ)

What is log_{10}(16) ?
The solution to log_{10}(16) is 4log_{10}(2)