What is the answer to log_{x}(3)=2 ?

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

lo g_{x} (3) = 2

x = 3

Decimal Notation

x = 1.73205 \dots

Solution steps

lo g_{x} (3) = 2

Apply log rules

\frac{1}{lo g _{3} ( x )} = 2

Multiply both sides by

lo g_{3} (x)

\frac{1}{lo g _{3} ( x )} lo g_{3} (x) = 2 lo g_{3} (x)

Simplify

1 = 2 lo g_{3} (x)

Switch sides

2 lo g_{3} (x) = 1

Divide both sides by

2

lo g_{3} (x) = \frac{1}{2}

Apply log rules

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

lo g_{5} (x - 7) = 1

ln (x) - x + 2 = 0

- 2 lo g_{5} (7 x) = 2

4.7 = - lo g_{10} (x)

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