What is the answer to log_{x}(2)= 1/4 ?

The answer to log_{x}(2)= 1/4 is x=16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(2)= 1/4

lo g_{x} (2) = \frac{1}{4}

x = 16

Solution steps

lo g_{x} (2) = \frac{1}{4}

Apply log rules

\frac{1}{lo g _{2} ( x )} = \frac{1}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

1 \cdot 4 = lo g_{2} (x) \cdot 1

Simplify

4 = lo g_{2} (x)

Apply log rules

16 = x

Switch sides

x = 16

Verify Solutions:

x = 16

True

The solution is

x = 16

e^{l n (1 - x)} = 2 x

3 ln (2 x) = 3 + ln (27)

x ln (x + 2) = 0

ln (3) + ln (2 x) = 5

lo g_{5} (3 x + 1) = 2