What is the answer to 2log_{10}(5-x)-10=-6 ?

The answer to 2log_{10}(5-x)-10=-6 is x=-95

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2log_{10}(5-x)-10=-6

2 lo g_{10} (5 - x) - 10 = - 6

x = - 95

Solution steps

2 lo g_{10} (5 - x) - 10 = - 6

Move

10

to the right side

2 lo g_{10} (5 - x) = 4

Divide both sides by

2

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

Apply log rules

5 - x = 100

Solve

5 - x = 100 : x = - 95

x = - 95

Verify Solutions:

x = - 95

True

The solution is

x = - 95

4 x ln (x) + 2 x = 0

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

lo g_{6} (x) = 1 - lo g_{6} (x - 5)

7^{x l o g_{7} (x - 2)} = x - 2

lo g_{x} (1296) = 4

What is the answer to 2log_{10}(5-x)-10=-6 ?
The answer to 2log_{10}(5-x)-10=-6 is x=-95
Solve for x: 2log_{10}(5-x)-10=-6
The solution is x=-95