What is the answer to log_{y}(81)=-4 ?

The answer to log_{y}(81)=-4 is y= 1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{y}(81)=-4

lo g_{y} (81) = - 4

y = \frac{1}{3}

Decimal Notation

y = 0.33333 \dots

Solution steps

lo g_{y} (81) = - 4

Apply log rules

\frac{1}{lo g _{81} ( y )} = - 4

Multiply both sides by

lo g_{81} (y)

\frac{1}{lo g _{81} ( y )} lo g_{81} (y) = - 4 lo g_{81} (y)

Simplify

1 = - 4 lo g_{81} (y)

Switch sides

- 4 lo g_{81} (y) = 1

Divide both sides by

- 4

lo g_{81} (y) = - \frac{1}{4}

Apply log rules

y = \frac{1}{3}

Verify Solutions:

y = \frac{1}{3}

True

The solution is

y = \frac{1}{3}

10 = lo g_{2} (64 x)

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

lo g_{2} (x) = 939143.50112

- 2 ln (a) = ln (4)

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