What is the answer to 4-6log_{10}(3x-1)=-20 ?

The answer to 4-6log_{10}(3x-1)=-20 is x= 10001/3

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4-6log_{10}(3x-1)=-20

4 - 6 lo g_{10} (3 x - 1) = - 20

x = \frac{10001}{3}

Decimal

x = 3333.66666 \dots

Solution steps

4 - 6 lo g_{10} (3 x - 1) = - 20

Move

4

to the right side

- 6 lo g_{10} (3 x - 1) = - 24

Divide both sides by

- 6

lo g_{10} (3 x - 1) = 4

Apply log rules

3 x - 1 = 10000

Solve

3 x - 1 = 10000 : x = \frac{10001}{3}

x = \frac{10001}{3}

Verify Solutions:

x = \frac{10001}{3}

True

The solution is

x = \frac{10001}{3}

ln (\frac{x}{4}) + 1 = 0

lo g_{5} (x^{2}) = 0

3 ln (x) + 1 = 0

ln (k) - ln (14) = 2

ln (3 x + 5) = - 1

What is the answer to 4-6log_{10}(3x-1)=-20 ?
The answer to 4-6log_{10}(3x-1)=-20 is x= 10001/3
Solve for x: 4-6log_{10}(3x-1)=-20
The solution is x= 10001/3