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=95

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

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

x = 95

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 = 100

Solve

x + 5 = 100 : x = 95

x = 95

Verify Solutions:

x = 95

True

The solution is

x = 95

ln (5 x + 4) = 3

ln (5 x + 4) = 0

lo g_{0.5} (x) = 2

ln (x + 10) + ln (x - 3) = 2 ln (x)

0 = 2 ln (x)

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=95
Solve for x: 2log_{10}(x+5)-log_{3}(9)=2
The solution is x=95