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

The answer to 3log_{10}(10x)-2=10 is x=1000

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

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

x = 1000

Solution steps

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

Move

2

to the right side

3 lo g_{10} (10 x) = 12

Divide both sides by

3

lo g_{10} (10 x) = 4

Apply log rules

10 x = 10000

Solve

10 x = 10000 : x = 1000

x = 1000

Verify Solutions:

x = 1000

True

The solution is

x = 1000

ln (x - 3) = ln (7 x - 23) - ln (x + 1)

- x + 4 = ln (x)

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

ln (10 x + 5) - 3 = ln (x - 5)

7 lo g_{2} (x) = - \frac{7}{3}

What is the answer to 3log_{10}(10x)-2=10 ?
The answer to 3log_{10}(10x)-2=10 is x=1000
Solve for x: 3log_{10}(10x)-2=10
The solution is x=1000