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

The answer to log_{2}(x+1)-2log_{2}(3)=3 is x=71

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

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

x = 71

Solution steps

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

Move

2 lo g_{2} (3)

to the right side

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

Apply log rules

x + 1 = 72

Solve

x + 1 = 72 : x = 71

x = 71

Verify Solutions:

x = 71

True

The solution is

x = 71

7.5 = 10.5 + lo g_{10} (x)

lo g_{3} ((r + 10)^{2}) = 4

lo g_{2} (x) + 3 = lo g_{2} (5 x)

- lo g_{10} (x) = 2.6

lo g_{x} (81) = lo g_{2} (16)

What is the answer to log_{2}(x+1)-2log_{2}(3)=3 ?
The answer to log_{2}(x+1)-2log_{2}(3)=3 is x=71
Solve for x: log_{2}(x+1)-2log_{2}(3)=3
The solution is x=71