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

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

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

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

x = \frac{7}{3}

Decimal

x = 2.33333 \dots

Solution steps

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

Apply log rules

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

Solve

x - 2 = \frac{1}{3} : x = \frac{7}{3}

x = \frac{7}{3}

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

ln (x - 8) = 0

ln (1 + x) - x = 0

lo g_{10} (3 x - 5) = 0

4 lo g_{2} (2 x) = 4.8