What is the answer to 2=log_{b}(900) ?

The answer to 2=log_{b}(900) is b=30

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2=log_{b}(900)

2 = lo g_{b} (900)

b = 30

Solution steps

2 = lo g_{b} (900)

Apply log rules

2 = \frac{1}{lo g _{900} ( b )}

Multiply both sides by

lo g_{900} (b)

2 lo g_{900} (b) = \frac{1}{lo g _{900} ( b )} lo g_{900} (b)

Simplify

2 lo g_{900} (b) = 1

Divide both sides by

2

lo g_{900} (b) = \frac{1}{2}

Apply log rules

b = 30

Verify Solutions:

b = 30

True

The solution is

b = 30

3 + lo g_{10} (1 - 3 x) = 0

lo g_{x} (10) = 3

ln (x) = (\frac{a}{3}) + 1

lo g_{x} (4096) = 6

- ln (- x) = 0