What is the answer to log_{x}(2)=-1/3 ?

The answer to log_{x}(2)=-1/3 is x= 1/8

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Popular >

log_{x}(2)=-1/3

Solution

lo g_{x} (2) = - \frac{1}{3}

Solution

x = \frac{1}{8}

Decimal

x = 0.125

Solution steps

lo g_{x} (2) = - \frac{1}{3}

Apply log rules

\frac{1}{lo g _{2} ( x )} = - \frac{1}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

1 \cdot 3 = - lo g_{2} (x) \cdot 1

Simplify

3 = - lo g_{2} (x)

Move

lo g_{2} (x)

to the left side

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

Move

3

to the right side

lo g_{2} (x) = - 3

Apply log rules

x = \frac{1}{8}

Verify Solutions:

x = \frac{1}{8}

True

The solution is

x = \frac{1}{8}

Graph

Popular Examples

100=12\times log_{1.5}(t)+7

100 = 12 \times lo g_{1.5} (t) + 7

log_{x-2}(16)=2

lo g_{x - 2} (16) = 2

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

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

log_{8}(5x+47)=3

lo g_{8} (5 x + 47) = 3

solvefor y,log_{8}(xy)=3 solve for

y, lo g_{8} (x y) = 3

Frequently Asked Questions (FAQ)

What is the answer to log_{x}(2)=-1/3 ?
The answer to log_{x}(2)=-1/3 is x= 1/8
Solve for x: log_{x}(2)=-1/3
The solution is x= 1/8

log_{x}(2)=-1/3

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to log_{x}(2)=-1/3 ?

Solve for x: log_{x}(2)=-1/3