What is the answer to log_{x}(1/256)=-4 ?

The answer to log_{x}(1/256)=-4 is x=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(1/256)=-4

lo g_{x} (\frac{1}{256}) = - 4

x = 4

Solution steps

lo g_{x} (\frac{1}{256}) = - 4

Apply log rules

\frac{ln ( \frac{1}{256} )}{ln ( x )} = - 4

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{256} )}{ln ( x )} ln (x) = - 4 ln (x)

Apply log rules

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

lo g_{6} (3) = lo g_{6} (4 p + 3)

lo g_{4} (x - 1) = 3

lo g_{2} (5 m + 7) = 5

lo g_{\frac{1}{5}} (2 x - 3) = - 1

lo g_{4} (x + 5) = 0

What is the answer to log_{x}(1/256)=-4 ?
The answer to log_{x}(1/256)=-4 is x=4
Solve for x: log_{x}(1/256)=-4
The solution is x=4