What is the answer to 2log_{10}(x+5)+log_{3}(9)=2 ?

The answer to 2log_{10}(x+5)+log_{3}(9)=2 is x=-4

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2log_{10}(x+5)+log_{3}(9)=2

2 lo g_{10} (x + 5) + lo g_{3} (9) = 2

x = - 4

Solution steps

2 lo g_{10} (x + 5) + lo g_{3} (9) = 2

Move

lo g_{3} (9)

to the right side

2 lo g_{10} (x + 5) = 2 - lo g_{3} (9)

Divide both sides by

2

lo g_{10} (x + 5) = \frac{2 - lo g _{3} ( 9 )}{2}

Apply log rules

x + 5 = 1

Solve

x + 5 = 1 : x = - 4

x = - 4

Verify Solutions:

x = - 4

True

The solution is

x = - 4

3 lo g_{4} (6 x) = 9

5 ln (x) = - 15

lo g_{x} (\frac{19}{65}) = 1.7

lo g_{10} (t) = 4.1339

lo g_{2} (x) + lo g_{2} (4 x) - 4 = 0

What is the answer to 2log_{10}(x+5)+log_{3}(9)=2 ?
The answer to 2log_{10}(x+5)+log_{3}(9)=2 is x=-4
Solve for x: 2log_{10}(x+5)+log_{3}(9)=2
The solution is x=-4