What is expand log_{2}(32(x+5)^4) ?

The solution to expand log_{2}(32(x+5)^4) is 5+4log_{2}(x+5)

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expand log_{2}(32(x+5)^4)

expand

lo g_{2} (32 (x + 5)^{4})

5 + 4 lo g_{2} (x + 5)

Solution steps

lo g_{2} (32 (x + 5)^{4})

Apply log rule:

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

lo g_{2} (32 (x + 5)^{4}) = lo g_{2} (32) + lo g_{2} ((x + 5)^{4})

= lo g_{2} (32) + lo g_{2} ((x + 5)^{4})

Apply log rule:

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

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

= lo g_{2} (32) + 4 lo g_{2} (x + 5)

lo g_{2} (32) = 5

= 5 + 4 lo g_{2} (x + 5)

\frac{1}{( 1 + 2 - 1 )} \cdot ln (\frac{1}{1 - 2})

\frac{1}{3} ln (\frac{540}{180})

ln (\frac{20}{21}) \cdot 70

\frac{1}{- 0.10986} ln (\frac{40}{60})

\frac{1}{2} lo g_{4} (x) + \frac{1}{2} lo g_{4} (y)

What is expand log_{2}(32(x+5)^4) ?
The solution to expand log_{2}(32(x+5)^4) is 5+4log_{2}(x+5)