What is the answer to 2log_{4}(x)-log_{4}(x+5)=2 ?

The answer to 2log_{4}(x)-log_{4}(x+5)=2 is x=20

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2log_{4}(x)-log_{4}(x+5)=2

2 lo g_{4} (x) - lo g_{4} (x + 5) = 2

x = 20

Solution steps

2 lo g_{4} (x) - lo g_{4} (x + 5) = 2

Apply log rules

x^{2} = 16 (x + 5)

Solve

x^{2} = 16 (x + 5) : x = 20, x = - 4

x = 20, x = - 4

Verify Solutions:

x = 20

True

, x = - 4

False

The solution is

x = 20

x, ln (x) = 2

x, ln (x) = 0

lo g_{2} (x + 1) = 1 + 6 lo g_{x + 1} (2)

lo g_{10} (x + 10) = 2

- lo g_{10} (x) = 1.55

What is the answer to 2log_{4}(x)-log_{4}(x+5)=2 ?
The answer to 2log_{4}(x)-log_{4}(x+5)=2 is x=20
Solve for x: 2log_{4}(x)-log_{4}(x+5)=2
The solution is x=20