What is the answer to log_{x}(1/81)=-4 ?

The answer to log_{x}(1/81)=-4 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}(1/81)=-4

lo g_{x} (\frac{1}{81}) = - 4

x = 3

Solution steps

lo g_{x} (\frac{1}{81}) = - 4

Apply log rules

\frac{ln ( \frac{1}{81} )}{ln ( x )} = - 4

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{81} )}{ln ( x )} ln (x) = - 4 ln (x)

Apply log rules

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

y, x = lo g_{2} (y)

2 x ln (x) - x = 0

8 x^{2} = 64 x \cdot lo g_{2} (x)

lo g_{3} (3 x + 2) = lo g_{3} (4 x - 6)

2 = ln (x + 1)