SOLUTION: log2(x+6)+log2(2)=4

Question 1133345: log2(x+6)+log2(2)=4
Found 2 solutions by greenestamps, Boreal:
Answer by greenestamps(13209) (Show Source): You can put this solution on YOUR website!

(1) Use rules of logarithms to rewrite the left hand side as a single logarithm: log(a)+log(b) = log(ab)

(2) Rewrite the right hand side as a logarithm with the same base as the logs on the left. For example, "3" converted to log5 would be log5(125).

(3) Your equation will now be in the form log2(A) = log2(B), which means now the equation you need to solve is in the simple form A = B.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is the same as log 2(2*(x+6))= 4
make the equation 2^(log 2....=4), which removes the log 2
2(x+6)=2^4=16
2x+12=16
2x=4
x=2
check log 2 (8)+ log 2 (2)=3+1=4
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