What is the answer to log_{x}(1296)=-4/3 ?

The answer to log_{x}(1296)=-4/3 is x= 1/216

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(1296)=-4/3

lo g_{x} (1296) = - \frac{4}{3}

x = \frac{1}{216}

Solution steps

lo g_{x} (1296) = - \frac{4}{3}

Apply log rules

\frac{1}{lo g _{1296} ( 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_{1296} (x) \cdot 4

Simplify

3 = - lo g_{1296} (x) \cdot 4

Switch sides

- lo g_{1296} (x) \cdot 4 = 3

Divide both sides by

- 4

lo g_{1296} (x) = - \frac{3}{4}

Apply log rules

x = \frac{1}{216}

Verify Solutions:

x = \frac{1}{216}

True

The solution is

x = \frac{1}{216}

lo g_{2} (x) lo g_{2} (x) = 9

4 lo g_{2} (x - 9) + lo g_{2} (2) = 5

0.789 = ln (x^{2})

0.42 = ln (x)

ln (y) = x^{2}, y

What is the answer to log_{x}(1296)=-4/3 ?
The answer to log_{x}(1296)=-4/3 is x= 1/216
Solve for x: log_{x}(1296)=-4/3
The solution is x= 1/216