What is the answer to log_{2}(x+9)=log_{2}(x-6)+4 ?

The answer to log_{2}(x+9)=log_{2}(x-6)+4 is x=7

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log_{2}(x+9)=log_{2}(x-6)+4

lo g_{2} (x + 9) = lo g_{2} (x - 6) + 4

x = 7

Solution steps

lo g_{2} (x + 9) = lo g_{2} (x - 6) + 4

Apply log rules

x + 9 = (x - 6) \cdot 16

Solve

x + 9 = (x - 6) \cdot 16 : x = 7

x = 7

Verify Solutions:

x = 7

True

The solution is

x = 7

5^{2} = 25 in lo g_{10} (x)

lo g_{10} (z) + 12 = 9

x, ln (y) = ln (x + 1)

x = 1 + 3.322 (lo g_{28} (x))

What is the answer to log_{2}(x+9)=log_{2}(x-6)+4 ?
The answer to log_{2}(x+9)=log_{2}(x-6)+4 is x=7
Solve for x: log_{2}(x+9)=log_{2}(x-6)+4
The solution is x=7