What is log_{10}(4)(256) ?

The solution to log_{10}(4)(256) is 512log_{10}(2)

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simplify log_{10}(4)(256)

simplify

lo g_{10} (4) (256)

512 lo g_{10} (2)

Decimal Notation

154.12735 \dots

Solution steps

lo g_{10} (4) (256)

Apply rule:

(a) = a

(256) = 256

= lo g_{10} (4) \cdot 256

Factor the number:

4 = 2^{2}

= lo g_{10} (2^{2}) \cdot 256

Apply log rule:

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

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

= 2 lo g_{10} (2) \cdot 256

Multiply the numbers:

2 \cdot 256 = 512

= 512 lo g_{10} (2)

(\frac{4}{3 q})^{4}

x^{4} + 3 x^{3} - 38 x^{2} + 24 x + 64

6 x^{2} + 23 x + 21

2 + 4

\frac{5}{x - 5} + \frac{x + 6}{3 x + 6}