What is the answer to log_{2}(5x+6)=3 ?

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

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log_{2}(5x+6)=3

lo g_{2} (5 x + 6) = 3

x = \frac{2}{5}

Decimal

x = 0.4

Solution steps

lo g_{2} (5 x + 6) = 3

Apply log rules

5 x + 6 = 8

Solve

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

x = \frac{2}{5}

lo g_{10} (x + 13) = lo g_{10} (x) + lo g_{10} (13)

lo g_{5} (x - 2) = - 1

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

lo g_{1 + x} (\frac{400}{13}) = 20

2 \times lo g_{3} (x) - 23 = 17