What is the answer to 2log_{10}(3x-2)=4 ?

The answer to 2log_{10}(3x-2)=4 is x=34

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2log_{10}(3x-2)=4

2 lo g_{10} (3 x - 2) = 4

x = 34

Solution steps

2 lo g_{10} (3 x - 2) = 4

Divide both sides by

2

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

Apply log rules

3 x - 2 = 100

Solve

3 x - 2 = 100 : x = 34

x = 34

Verify Solutions:

x = 34

True

The solution is

x = 34

lo g_{10} (x + 11) = lo g_{10} (x) + lo g_{10} (11)

ln (3 x + 9) = 2 x - 3

lo g_{2} ((2 x^{2} + 7 x) + 9) = 3

lo g_{5} (5 x) + lo g_{5} (x) = 0

lo g_{2} (x) = 12

What is the answer to 2log_{10}(3x-2)=4 ?
The answer to 2log_{10}(3x-2)=4 is x=34
Solve for x: 2log_{10}(3x-2)=4
The solution is x=34