What is the answer to 3=log_{y}(27) ?

The answer to 3=log_{y}(27) is y=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3=log_{y}(27)

3 = lo g_{y} (27)

y = 3

Solution steps

3 = lo g_{y} (27)

Apply log rules

3 = \frac{1}{lo g _{27} ( y )}

Multiply both sides by

lo g_{27} (y)

3 lo g_{27} (y) = \frac{1}{lo g _{27} ( y )} lo g_{27} (y)

Simplify

3 lo g_{27} (y) = 1

Divide both sides by

3

lo g_{27} (y) = \frac{1}{3}

Apply log rules

y = 3

Verify Solutions:

y = 3

True

The solution is

y = 3

ln (x + 9) + ln (x - 3) = 2 ln (x)

ln (e x) = 2

lo g_{\frac{1}{7}} (x) = - 2

lo g_{3} (x + 1) = 1

20 lo g_{10} (x) = - 3