What is the answer to 5log_{10}(x+2)-3=12 ?

The answer to 5log_{10}(x+2)-3=12 is x=998

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5log_{10}(x+2)-3=12

5 lo g_{10} (x + 2) - 3 = 12

x = 998

Solution steps

5 lo g_{10} (x + 2) - 3 = 12

Move

3

to the right side

5 lo g_{10} (x + 2) = 15

Divide both sides by

5

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

Apply log rules

x + 2 = 1000

Solve

x + 2 = 1000 : x = 998

x = 998

Verify Solutions:

x = 998

True

The solution is

x = 998

lo g_{3} (5 x + 3) = 4

- 3 lo g_{8} (x) - 1 = - 2

lo g_{2} (3 x - 7) - 5 = 0

lo g_{0.5} (12 - 8 x) = - 4

3 - lo g_{2} (x - 1) = 0

What is the answer to 5log_{10}(x+2)-3=12 ?
The answer to 5log_{10}(x+2)-3=12 is x=998
Solve for x: 5log_{10}(x+2)-3=12
The solution is x=998