What is the answer to log_{2}(x+5)-log_{2}(6)=3 ?

The answer to log_{2}(x+5)-log_{2}(6)=3 is x=43

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log_{2}(x+5)-log_{2}(6)=3

lo g_{2} (x + 5) - lo g_{2} (6) = 3

x = 43

Solution steps

lo g_{2} (x + 5) - lo g_{2} (6) = 3

Move

lo g_{2} (6)

to the right side

lo g_{2} (x + 5) = 3 + lo g_{2} (6)

Apply log rules

x + 5 = 48

Solve

x + 5 = 48 : x = 43

x = 43

Verify Solutions:

x = 43

True

The solution is

x = 43

lo g_{10} (x) = 2

25.52 = - lo g_{10} (x)

lo g_{3} (x) = - 0.7

ln (x^{2} - 8) = 0

lo g_{2} (x + 1) - lo g_{2} (x) = 4

What is the answer to log_{2}(x+5)-log_{2}(6)=3 ?
The answer to log_{2}(x+5)-log_{2}(6)=3 is x=43
Solve for x: log_{2}(x+5)-log_{2}(6)=3
The solution is x=43