What is the answer to 3=log_{x}(8) ?

The answer to 3=log_{x}(8) is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3=log_{x}(8)

3 = lo g_{x} (8)

x = 2

Solution steps

3 = lo g_{x} (8)

Apply log rules

3 = \frac{1}{lo g _{8} ( x )}

Multiply both sides by

lo g_{8} (x)

3 lo g_{8} (x) = \frac{1}{lo g _{8} ( x )} lo g_{8} (x)

Simplify

3 lo g_{8} (x) = 1

Divide both sides by

3

lo g_{8} (x) = \frac{1}{3}

Apply log rules

x = 2

Verify Solutions:

x = 2

True

The solution is

x = 2

lo g_{5} (x) + lo g_{10} (x^{5}) = 2

lo g_{10} (x) (\frac{1}{8}) = 3

4.87 = - lo g_{10} (x)

ln (x^{2}) + 2 = ln (x^{4})

lo g_{10} (4) + lo g_{10} (x + 4) = 1