What is the answer to log_{x}(1/7)=-1 ?

The answer to log_{x}(1/7)=-1 is x=7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(1/7)=-1

lo g_{x} (\frac{1}{7}) = - 1

x = 7

Solution steps

lo g_{x} (\frac{1}{7}) = - 1

Apply log rules

\frac{ln ( \frac{1}{7} )}{ln ( x )} = - 1

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{7} )}{ln ( x )} ln (x) = - 1 \cdot ln (x)

Apply log rules

x = 7

Verify Solutions:

x = 7

True

The solution is

x = 7

lo g_{5} (x + 8) = - lo g_{5} (x + 4) + 1

y = ln (5 x), x

2 lo g_{10} (x - 1) = 2 + 2 lo g_{x} (x)

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

2 lo g_{10} (3 - x) = 1 - x