What is the answer to log_{x}(1/8)=-3/5 ?

The answer to log_{x}(1/8)=-3/5 is x=32

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(1/8)=-3/5

lo g_{x} (\frac{1}{8}) = - \frac{3}{5}

x = 32

Solution steps

lo g_{x} (\frac{1}{8}) = - \frac{3}{5}

Apply log rules

\frac{ln ( \frac{1}{8} )}{ln ( x )} = - \frac{3}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

ln (\frac{1}{8}) \cdot 5 = - ln (x) \cdot 3

Apply log rules

x = 32

Verify Solutions:

x = 32

True

The solution is

x = 32

lo g_{5} (x + 6) = 3

3 = lo g_{b} (27)

2 = lo g_{t} (9)

ln (x) = 8 - x

6 ln (2 x) = 30

What is the answer to log_{x}(1/8)=-3/5 ?
The answer to log_{x}(1/8)=-3/5 is x=32
Solve for x: log_{x}(1/8)=-3/5
The solution is x=32