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

The answer to log_{x}(2)=-1/2 is x= 1/4

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log_{x}(2)=-1/2

Solution

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

Solution

x = \frac{1}{4}

Decimal

x = 0.25

Solution steps

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

Apply log rules

\frac{1}{lo g _{2} ( x )} = - \frac{1}{2}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

1 \cdot 2 = - lo g_{2} (x) \cdot 1

Simplify

2 = - lo g_{2} (x)

Move

lo g_{2} (x)

to the left side

2 + lo g_{2} (x) = 0

Move

2

to the right side

lo g_{2} (x) = - 2

Apply log rules

x = \frac{1}{4}

Verify Solutions:

x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

Graph

Popular Examples

log_{x-3}(81)=4

lo g_{x - 3} (81) = 4

log_{5}(5-x)=log_{5}(3)

lo g_{5} (5 - x) = lo g_{5} (3)

0=(1-ln(x))/(x^2)

0 = \frac{1 - ln ( x )}{x ^{2}}

log_{x}(8e^3)=3

lo g_{x} (8 e^{3}) = 3

log_{3}(x^2)=2log_{3}(4)-4log_{3}(5)

lo g_{3} (x^{2}) = 2 lo g_{3} (4) - 4 lo g_{3} (5)

Frequently Asked Questions (FAQ)

What is the answer to log_{x}(2)=-1/2 ?
The answer to log_{x}(2)=-1/2 is x= 1/4
Solve for x: log_{x}(2)=-1/2
The solution is x= 1/4

log_{x}(2)=-1/2

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

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

Solve for x: log_{x}(2)=-1/2