What is the answer to -8log_{2}(x+6)=-5 ?

The answer to -8log_{2}(x+6)=-5 is x=2^{5/8}-6

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-8log_{2}(x+6)=-5

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

x = 2^{\frac{5}{8}} - 6

Solution steps

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

Divide both sides by

- 8

lo g_{2} (x + 6) = \frac{5}{8}

Apply log rules

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

Solve

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

x = 2^{\frac{5}{8}} - 6

Verify Solutions:

x = 2^{\frac{5}{8}} - 6

True

The solution is

x = 2^{\frac{5}{8}} - 6

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

lo g_{4} (X_{2}) = \frac{1}{2}

3 ln (x - 5) = 12

lo g_{X} (10) = \frac{2}{3}

lo g_{7} (y) = 4

What is the answer to -8log_{2}(x+6)=-5 ?
The answer to -8log_{2}(x+6)=-5 is x=2^{5/8}-6
Solve for x: -8log_{2}(x+6)=-5
The solution is x=2^{5/8}-6