What is the answer to log_{10}((2x+1)/(x+3))=3 ?

The answer to log_{10}((2x+1)/(x+3))=3 is x=-2999/998

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log_{10}((2x+1)/(x+3))=3

lo g_{10} (\frac{2 x + 1}{x + 3}) = 3

x = - \frac{2999}{998}

Decimal Notation

x = - 3.00501 \dots

Solution steps

lo g_{10} (\frac{2 x + 1}{x + 3}) = 3

Apply log rules

\frac{2 x + 1}{x + 3} = 1 0^{3}

Multiply both sides by

x + 3

\frac{2 x + 1}{x + 3} (x + 3) = 1 0^{3} (x + 3)

Simplify

2 x + 1 = 1000 (x + 3)

Solve

2 x + 1 = 1000 (x + 3) : x = - \frac{2999}{998}

x = - \frac{2999}{998}

Verify Solutions:

x = - \frac{2999}{998}

True

The solution is

x = - \frac{2999}{998}

lo g_{10} (x) = - 4235

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

0.44 = ln (y)

lo g_{2} (6 x + 5) = 1

y, x = lo g_{2} (y - 4)

What is the answer to log_{10}((2x+1)/(x+3))=3 ?
The answer to log_{10}((2x+1)/(x+3))=3 is x=-2999/998
Solve for x: log_{10}((2x+1)/(x+3))=3
The solution is x=-2999/998