What is the answer to log_{x}(81)=8 ?

The answer to log_{x}(81)=8 is x=sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(81)=8

lo g_{x} (81) = 8

x = 3

Decimal Notation

x = 1.73205 \dots

Solution steps

lo g_{x} (81) = 8

Apply log rules

\frac{1}{lo g _{81} ( x )} = 8

Multiply both sides by

lo g_{81} (x)

\frac{1}{lo g _{81} ( x )} lo g_{81} (x) = 8 lo g_{81} (x)

Simplify

1 = 8 lo g_{81} (x)

Switch sides

8 lo g_{81} (x) = 1

Divide both sides by

8

lo g_{81} (x) = \frac{1}{8}

Apply log rules

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

lo g_{10} (6 x) = - ln (5 x)

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

x = 3 lo g_{10} (y^{2}), y

x, y = ln (x y)

lo g_{4} (x - 6) + lo g_{4} (x - 6) = 1