What is the answer to 2log_{10}(3x-7)=8 ?

The answer to 2log_{10}(3x-7)=8 is x= 10007/3

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2log_{10}(3x-7)=8

2 lo g_{10} (3 x - 7) = 8

x = \frac{10007}{3}

Decimal Notation

x = 3335.66666 \dots

Solution steps

2 lo g_{10} (3 x - 7) = 8

Divide both sides by

2

lo g_{10} (3 x - 7) = 4

Apply log rules

3 x - 7 = 10000

Solve

3 x - 7 = 10000 : x = \frac{10007}{3}

x = \frac{10007}{3}

Verify Solutions:

x = \frac{10007}{3}

True

The solution is

x = \frac{10007}{3}

2 ln (x) + 3 = 0

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

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

lo g_{3} (lo g_{2} (x)) = 1

lo g_{2} (2 w + 5) - lo g_{2} (4 - w) = 3

What is the answer to 2log_{10}(3x-7)=8 ?
The answer to 2log_{10}(3x-7)=8 is x= 10007/3
Solve for x: 2log_{10}(3x-7)=8
The solution is x= 10007/3