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

The answer to log_{3}(2x-3)=-2 is x= 14/9

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

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

x = \frac{14}{9}

Decimal Notation

x = 1.55555 \dots

Solution steps

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

Apply log rules

2 x - 3 = \frac{1}{9}

Solve

2 x - 3 = \frac{1}{9} : x = \frac{14}{9}

x = \frac{14}{9}

lo g_{3} (x + 2) + lo g_{3} (x + 8) = 3

ln (a^{4}) = 4 \cdot ln (a)

lo g_{2} (x) + lo g_{2} (8 x) = 2

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

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

What is the answer to log_{3}(2x-3)=-2 ?
The answer to log_{3}(2x-3)=-2 is x= 14/9
Solve for x: log_{3}(2x-3)=-2
The solution is x= 14/9