What is the answer to log_{3}((6x+7)/(x+2)-1)=0 ?

The answer to log_{3}((6x+7)/(x+2)-1)=0 is x=-3/4

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log_{3}((6x+7)/(x+2)-1)=0

lo g_{3} (\frac{6 x + 7}{x + 2} - 1) = 0

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

lo g_{3} (\frac{6 x + 7}{x + 2} - 1) = 0

Apply log rules

\frac{6 x + 7}{x + 2} - 1 = 3^{0}

Multiply both sides by

x + 2

\frac{6 x + 7}{x + 2} (x + 2) - 1 \cdot (x + 2) = 3^{0} (x + 2)

Simplify

6 x + 7 - (x + 2) = x + 2

Solve

6 x + 7 - (x + 2) = x + 2 : x = - \frac{3}{4}

x = - \frac{3}{4}

Verify Solutions:

x = - \frac{3}{4}

True

The solution is

x = - \frac{3}{4}

lo g_{4} ((x + 1)^{6}) = 12

lo g_{10} (n) = lo g_{10} (n)

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

- 3 lo g_{11} (x + 4) = - 6

4.7 = 5 - lo g_{10} (\frac{0.5}{x})

What is the answer to log_{3}((6x+7)/(x+2)-1)=0 ?
The answer to log_{3}((6x+7)/(x+2)-1)=0 is x=-3/4
Solve for x: log_{3}((6x+7)/(x+2)-1)=0
The solution is x=-3/4