What is the answer to log_{x}(sqrt(3))= 1/4 ?

The answer to log_{x}(sqrt(3))= 1/4 is x=9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(sqrt(3))= 1/4

lo g_{x} (3) = \frac{1}{4}

x = 9

Solution steps

lo g_{x} (3) = \frac{1}{4}

Apply log rules

\frac{ln ( 3 )}{ln ( x )} = \frac{1}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

ln (3) \cdot 4 = ln (x) \cdot 1

Apply log rules

9 = x

Switch sides

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

lo g_{2} (2 x + 1) - lo g_{2} (x) = 2

0 = lo g_{3} (6 t + 27) - 5

11200 = 2100 \cdot lo g_{10} (x + 1)

lo g_{10} ((x + 1)^{2}) = 4

lo g_{32} (x) = \frac{4}{5}

What is the answer to log_{x}(sqrt(3))= 1/4 ?
The answer to log_{x}(sqrt(3))= 1/4 is x=9
Solve for x: log_{x}(sqrt(3))= 1/4
The solution is x=9