What is the answer to log_{x}(5)=-1/2 ?

The answer to log_{x}(5)=-1/2 is x= 1/25

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Popular >

log_{x}(5)=-1/2

Solution

lo g_{x} (5) = - \frac{1}{2}

Solution

x = \frac{1}{25}

Decimal

x = 0.04

Solution steps

lo g_{x} (5) = - \frac{1}{2}

Apply log rules

\frac{1}{lo g _{5} ( 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_{5} (x) \cdot 1

Simplify

2 = - lo g_{5} (x)

Move

lo g_{5} (x)

to the left side

2 + lo g_{5} (x) = 0

Move

2

to the right side

lo g_{5} (x) = - 2

Apply log rules

x = \frac{1}{25}

Verify Solutions:

x = \frac{1}{25}

True

The solution is

x = \frac{1}{25}

Graph

Popular Examples

log_{2}(7-x)=6

lo g_{2} (7 - x) = 6

log_{10}(5x+150)=3

lo g_{10} (5 x + 150) = 3

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

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

7log_{e}(x)+1=0

7 lo g_{e} (x) + 1 = 0

2=log_{5}(t)

2 = lo g_{5} (t)

Frequently Asked Questions (FAQ)

What is the answer to log_{x}(5)=-1/2 ?
The answer to log_{x}(5)=-1/2 is x= 1/25
Solve for x: log_{x}(5)=-1/2
The solution is x= 1/25

log_{x}(5)=-1/2

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to log_{x}(5)=-1/2 ?

Solve for x: log_{x}(5)=-1/2