What is the answer to log_{1/2}(x+8)-1=0 ?

The answer to log_{1/2}(x+8)-1=0 is x=-15/2

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log_{1/2}(x+8)-1=0

lo g_{\frac{1}{2}} (x + 8) - 1 = 0

x = - \frac{15}{2}

Decimal Notation

x = - 7.5

Solution steps

lo g_{\frac{1}{2}} (x + 8) - 1 = 0

Move

1

to the right side

lo g_{\frac{1}{2}} (x + 8) = 1

Apply log rules

x + 8 = \frac{1}{2}

Solve

x + 8 = \frac{1}{2} : x = - \frac{15}{2}

x = - \frac{15}{2}

Verify Solutions:

x = - \frac{15}{2}

True

The solution is

x = - \frac{15}{2}

lo g_{4} (y) - lo g_{2} (y) = 12

lo g_{y} (100) = lo g_{10} (y)

\frac{ln ( x + 3 )}{ln ( x + 1 )} = 2

ln (2) + ln (x) = 5

5 lo g_{4} (64 k) = 18

What is the answer to log_{1/2}(x+8)-1=0 ?
The answer to log_{1/2}(x+8)-1=0 is x=-15/2
Solve for x: log_{1/2}(x+8)-1=0
The solution is x=-15/2