What is the answer to log_{x}(625)= 4/3 ?

The answer to log_{x}(625)= 4/3 is x=125

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(625)= 4/3

lo g_{x} (625) = \frac{4}{3}

x = 125

Solution steps

lo g_{x} (625) = \frac{4}{3}

Apply log rules

\frac{1}{lo g _{625} ( x )} = \frac{4}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

1 \cdot 3 = lo g_{625} (x) \cdot 4

Simplify

3 = lo g_{625} (x) \cdot 4

Switch sides

lo g_{625} (x) \cdot 4 = 3

Divide both sides by

4

lo g_{625} (x) = \frac{3}{4}

Apply log rules

x = 125

Verify Solutions:

x = 125

True

The solution is

x = 125

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

x, ln (y) = - ln (x)

lo g_{x} (4) = - 2

x, ln (x) + ln (x - 1) = 0

3 ln (2) - ln (4) = - ln (x)

What is the answer to log_{x}(625)= 4/3 ?
The answer to log_{x}(625)= 4/3 is x=125
Solve for x: log_{x}(625)= 4/3
The solution is x=125