What is the answer to 6log_{4}(x+19)=12 ?

The answer to 6log_{4}(x+19)=12 is x=-3

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6log_{4}(x+19)=12

6 lo g_{4} (x + 19) = 12

x = - 3

Solution steps

6 lo g_{4} (x + 19) = 12

Divide both sides by

6

lo g_{4} (x + 19) = 2

Apply log rules

x + 19 = 16

Solve

x + 19 = 16 : x = - 3

x = - 3

Verify Solutions:

x = - 3

True

The solution is

x = - 3

lo g_{2} (x^{2} - x - 1) = 2

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

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

lo g_{10} (3 x + 5) = 2

ln (x) = 9

What is the answer to 6log_{4}(x+19)=12 ?
The answer to 6log_{4}(x+19)=12 is x=-3
Solve for x: 6log_{4}(x+19)=12
The solution is x=-3