What is the answer to log_{2}(t)+log_{2}(t+2)=3 ?

The answer to log_{2}(t)+log_{2}(t+2)=3 is t=2

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log_{2}(t)+log_{2}(t+2)=3

lo g_{2} (t) + lo g_{2} (t + 2) = 3

t = 2

Solution steps

lo g_{2} (t) + lo g_{2} (t + 2) = 3

Apply log rules

t (t + 2) = 8

Solve

t (t + 2) = 8 : t = 2, t = - 4

t = 2, t = - 4

Verify Solutions:

t = 2

True

, t = - 4

False

The solution is

t = 2

ln (x - 2) = 1

0.28 = lo g_{10} (x)

lo g_{10} (3 + 2 lo g_{10} (1 + x)) = 0

lo g_{a} (6) = \frac{1}{2}

y, ln (y) = 2 t - 3

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