What is the answer to 10-2log_{10}(x-3)=8 ?

The answer to 10-2log_{10}(x-3)=8 is x=13

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10-2log_{10}(x-3)=8

10 - 2 lo g_{10} (x - 3) = 8

x = 13

Solution steps

10 - 2 lo g_{10} (x - 3) = 8

Move

10

to the right side

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

Divide both sides by

- 2

lo g_{10} (x - 3) = 1

Apply log rules

x - 3 = 10

Solve

x - 3 = 10 : x = 13

x = 13

Verify Solutions:

x = 13

True

The solution is

x = 13

lo g_{x} (2) = - 3

lo g_{a} (36) = 2

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

x, ln (v) = - ln (x)

lo g_{10} (x) = 10 + lo g_{10} (4)

What is the answer to 10-2log_{10}(x-3)=8 ?
The answer to 10-2log_{10}(x-3)=8 is x=13
Solve for x: 10-2log_{10}(x-3)=8
The solution is x=13