What is the answer to log_{2}(x+8)= 2/21 ?

The answer to log_{2}(x+8)= 2/21 is x=2^{2/21}-8

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log_{2}(x+8)= 2/21

lo g_{2} (x + 8) = \frac{2}{21}

x = 2^{\frac{2}{21}} - 8

Decimal Notation

x = - 6.93175 \dots

Solution steps

lo g_{2} (x + 8) = \frac{2}{21}

Apply log rules

x + 8 = 2^{\frac{2}{21}}

Solve

x + 8 = 2^{\frac{2}{21}} : x = 2^{\frac{2}{21}} - 8

x = 2^{\frac{2}{21}} - 8

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

lo g_{10} (x) = - 1.93

lo g_{243} (a) = lo g_{3} (x), a > 0

0.6 = lo g_{10} (y)

lo g_{5} (2 y - 7) = 0

What is the answer to log_{2}(x+8)= 2/21 ?
The answer to log_{2}(x+8)= 2/21 is x=2^{2/21}-8
Solve for x: log_{2}(x+8)= 2/21
The solution is x=2^{2/21}-8