What is the answer to log_{x}(10000)=2 ?

The answer to log_{x}(10000)=2 is x=100

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(10000)=2

lo g_{x} (10000) = 2

x = 100

Solution steps

lo g_{x} (10000) = 2

Apply log rules

\frac{1}{lo g _{10000} ( x )} = 2

Multiply both sides by

lo g_{10000} (x)

\frac{1}{lo g _{10000} ( x )} lo g_{10000} (x) = 2 lo g_{10000} (x)

Simplify

1 = 2 lo g_{10000} (x)

Switch sides

2 lo g_{10000} (x) = 1

Divide both sides by

2

lo g_{10000} (x) = \frac{1}{2}

Apply log rules

x = 100

Verify Solutions:

x = 100

True

The solution is

x = 100

lo g_{36} (x) = \frac{3}{2}

y, ln (x y) = x + y

lo g_{3} (2 x + 1) - 3 = 0

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

lo g_{2} (5 x) = 15

What is the answer to log_{x}(10000)=2 ?
The answer to log_{x}(10000)=2 is x=100
Solve for x: log_{x}(10000)=2
The solution is x=100