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

The answer to log_{3}(2x-6)=1 is x= 9/2

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log_{3}(2x-6)=1

lo g_{3} (2 x - 6) = 1

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

lo g_{3} (2 x - 6) = 1

Apply log rules

2 x - 6 = 3

Solve

2 x - 6 = 3 : x = \frac{9}{2}

x = \frac{9}{2}

2 ln (x) = 1

5 + 2 ln (x) = 4

lo g_{x} (\frac{1}{9}) = - 2

lo g_{3} (x) - 4 lo g_{x} (3) + 3 = 0

2 lo g_{10} (x - 1) = lo g_{10} (2 x)