What is the answer to log_{x}(0.5)=0.5 ?

The answer to log_{x}(0.5)=0.5 is x= 1/4

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log_{x}(0.5)=0.5

lo g_{x} (0.5) = 0.5

x = \frac{1}{4}

Solution steps

lo g_{x} (0.5) = 0.5

Apply log rules

\frac{1}{lo g _{0.5} ( x )} = 0.5

Multiply both sides by

lo g_{0.5} (x)

\frac{1}{lo g _{0.5} ( x )} lo g_{0.5} (x) = 0.5 lo g_{0.5} (x)

Apply log rules

x = \frac{1}{4}

Verify Solutions:

x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

lo g_{2} (5 x) + 2 lo g_{2} (7) = 3

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

- 10 = 20 lo g_{10} (x)

lo g_{36} (6^{a}) = a + 1

ln (8 x) - ln (x - 3) = ln (x + 3)

What is the answer to log_{x}(0.5)=0.5 ?
The answer to log_{x}(0.5)=0.5 is x= 1/4
Solve for x: log_{x}(0.5)=0.5
The solution is x= 1/4