What is the answer to log_{d}(3)= 1/2 ?

The answer to log_{d}(3)= 1/2 is d=9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{d}(3)= 1/2

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

d = 9

Solution steps

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

Apply log rules

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

1 \cdot 2 = lo g_{3} (d) \cdot 1

Simplify

2 = lo g_{3} (d)

Apply log rules

9 = d

Switch sides

d = 9

Verify Solutions:

d = 9

True

The solution is

d = 9

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

x, ln (x) = - 1

3 lo g_{3} (x) = 0

12 lo g_{10} (3 x) = 6

lo g_{10} (- m) + 2 = 4