What is the answer to log_{x}(4096)=4 ?

The answer to log_{x}(4096)=4 is x=8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(4096)=4

lo g_{x} (4096) = 4

x = 8

Solution steps

lo g_{x} (4096) = 4

Apply log rules

\frac{1}{lo g _{4096} ( x )} = 4

Multiply both sides by

lo g_{4096} (x)

\frac{1}{lo g _{4096} ( x )} lo g_{4096} (x) = 4 lo g_{4096} (x)

Simplify

1 = 4 lo g_{4096} (x)

Switch sides

4 lo g_{4096} (x) = 1

Divide both sides by

4

lo g_{4096} (x) = \frac{1}{4}

Apply log rules

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

a, lo g_{2} (a) = b

5 lo g_{10} (x) = 10

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

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

ln (x + 8) + ln (x - 5) = 2 ln (x)