What is the answer to log_{2}(9x+2)=2 ?

The answer to log_{2}(9x+2)=2 is x= 2/9

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log_{2}(9x+2)=2

lo g_{2} (9 x + 2) = 2

x = \frac{2}{9}

Decimal Notation

x = 0.22222 \dots

Solution steps

lo g_{2} (9 x + 2) = 2

Apply log rules

9 x + 2 = 4

Solve

9 x + 2 = 4 : x = \frac{2}{9}

x = \frac{2}{9}

lo g_{10} (x) = lo g_{10} (x + 1)

2 ln (x) - ln (3 x - 2) = 0

8 1^{l o g_{10} (9 x)} = x^{2}

lo g_{3} (3 x) = 2

0 = 2 x ln (\frac{x}{2}) + x