What is the answer to log_{2}(5x+2)=3 ?

The answer to log_{2}(5x+2)=3 is x= 6/5

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log_{2}(5x+2)=3

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

x = \frac{6}{5}

Decimal Notation

x = 1.2

Solution steps

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

Apply log rules

5 x + 2 = 8

Solve

5 x + 2 = 8 : x = \frac{6}{5}

x = \frac{6}{5}

lo g_{6} (x - 4) + lo g_{6} (x - 5) = 1

lo g_{10} (x) (x^{2}) = x^{3}

x^{2 l o g_{x} (x + 1)} = 5 x - 1

lo g_{3} (x - x - 5) - lo g_{3} (x) = 1

ln (2 x - 3) = 0