What is the answer to 2log_{3}(x+5)-log_{3}(9)=2 ?

The answer to 2log_{3}(x+5)-log_{3}(9)=2 is x=4

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2log_{3}(x+5)-log_{3}(9)=2

2 lo g_{3} (x + 5) - lo g_{3} (9) = 2

x = 4

Solution steps

2 lo g_{3} (x + 5) - lo g_{3} (9) = 2

Move

lo g_{3} (9)

to the right side

2 lo g_{3} (x + 5) = 2 + lo g_{3} (9)

Divide both sides by

2

lo g_{3} (x + 5) = \frac{2 + lo g _{3} ( 9 )}{2}

Apply log rules

x + 5 = 9

Solve

x + 5 = 9 : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

(\frac{9}{5}) lo g_{4} (x) = - 2

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

5 ln (4 x + 4) + 4 = - 11

ln (2 x + 1) - ln (x - 3) = 2

1.034 = - 1.48 + 1.04 ln (x)

What is the answer to 2log_{3}(x+5)-log_{3}(9)=2 ?
The answer to 2log_{3}(x+5)-log_{3}(9)=2 is x=4
Solve for x: 2log_{3}(x+5)-log_{3}(9)=2
The solution is x=4