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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 3

Solution steps

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

Apply log rules

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

Multiply both sides by

ln (x)

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

Apply log rules

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

lo g_{2} (7 x + 4) = 5

lo g_{3} (3 x) = 3

lo g_{10} (x + 2) = 3

2.8 = - lo g_{10} (\frac{0.2}{x})

lo g_{10} (x) + lo g_{10} (x + 2) = 8