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

The answer to -log_{3}(2-x)=3 is x= 53/27

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

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

x = \frac{53}{27}

Decimal

x = 1.96296 \dots

Solution steps

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

Divide both sides by

- 1

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

Apply log rules

2 - x = \frac{1}{27}

Solve

2 - x = \frac{1}{27} : x = \frac{53}{27}

x = \frac{53}{27}

Verify Solutions:

x = \frac{53}{27}

True

The solution is

x = \frac{53}{27}

ln (x^{2} - 16) = 0

- 6 lo g_{12} (x - 5) = - 6

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

2 lo g_{10} (x) - lo g_{10} (6) = lo g_{10} (486)

y, x = lo g_{10} (y)

What is the answer to -log_{3}(2-x)=3 ?
The answer to -log_{3}(2-x)=3 is x= 53/27
Solve for x: -log_{3}(2-x)=3
The solution is x= 53/27