What is the answer to log_{2}(x+3)+3log_{2}(x-1)=8 ?

The answer to log_{2}(x+3)+3log_{2}(x-1)=8 is x\approx 4.27669…

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log_{2}(x+3)+3log_{2}(x-1)=8

lo g_{2} (x + 3) + 3 lo g_{2} (x - 1) = 8

x \approx 4.27669 \dots

Solution steps

lo g_{2} (x + 3) + 3 lo g_{2} (x - 1) = 8

Apply log rules

(x + 3) (x - 1)^{3} = 256

Solve

(x + 3) (x - 1)^{3} = 256 : x \approx 4.27669 \dots, x \approx - 4.52111 \dots

x \approx 4.27669 \dots, x \approx - 4.52111 \dots

Verify Solutions:

x \approx 4.27669 \dots

True

, x \approx - 4.52111 \dots

False

The solution is

x \approx 4.27669 \dots

3 ln (x - 5) = 1

(lo g_{2} (x))^{3} = lo g_{8} (x)

y, x = lo g_{2} (2 y)

80 = 20 lo g_{10} (x)

lo g_{4} (k) + lo g_{4} (k - 3) = 2

What is the answer to log_{2}(x+3)+3log_{2}(x-1)=8 ?
The answer to log_{2}(x+3)+3log_{2}(x-1)=8 is x\approx 4.27669…
Solve for x: log_{2}(x+3)+3log_{2}(x-1)=8
The solution is x\approx 4.27669…