What is the answer to log_{x}(125)= 3/2 ?

The answer to log_{x}(125)= 3/2 is x=25

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(125)= 3/2

lo g_{x} (125) = \frac{3}{2}

x = 25

Solution steps

lo g_{x} (125) = \frac{3}{2}

Apply log rules

\frac{1}{lo g _{125} ( x )} = \frac{3}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

1 \cdot 2 = lo g_{125} (x) \cdot 3

Simplify

2 = lo g_{125} (x) \cdot 3

Switch sides

lo g_{125} (x) \cdot 3 = 2

Divide both sides by

3

lo g_{125} (x) = \frac{2}{3}

Apply log rules

x = 25

Verify Solutions:

x = 25

True

The solution is

x = 25

lo g_{3} (x + 4) - lo g_{3} (x - 1) = 2

r, w = ln (1 + rs)

8 + lo g_{5} (- 4 x) = 10

7.4 = - lo g_{10} (x)

lo g_{2} (x) = - 2

What is the answer to log_{x}(125)= 3/2 ?
The answer to log_{x}(125)= 3/2 is x=25
Solve for x: log_{x}(125)= 3/2
The solution is x=25