What is the answer to log_{x}(1/25)=-2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(1/25)=-2

lo g_{x} (\frac{1}{25}) = - 2

x = 5

Solution steps

lo g_{x} (\frac{1}{25}) = - 2

Apply log rules

\frac{ln ( \frac{1}{25} )}{ln ( x )} = - 2

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{25} )}{ln ( x )} ln (x) = - 2 ln (x)

Apply log rules

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

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

lo g_{4} (x) + lo g_{4} (x - 6) = 2

ln (5 - 2 x) = - 3

ln (x^{2} - 1) = 0

ln (\frac{15}{13 - 2 x}) = ln (x)