What is the answer to log_{x}(1/2187)=7 ?

The answer to log_{x}(1/2187)=7 is x= 1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(1/2187)=7

lo g_{x} (\frac{1}{2187}) = 7

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

lo g_{x} (\frac{1}{2187}) = 7

Apply log rules

\frac{ln ( \frac{1}{2187} )}{ln ( x )} = 7

Multiply both sides by

ln (x)

\frac{ln ( \frac{1}{2187} )}{ln ( x )} ln (x) = 7 ln (x)

Apply log rules

x = \frac{1}{3}

Verify Solutions:

x = \frac{1}{3}

True

The solution is

x = \frac{1}{3}

x, lo g_{4} (3 x) = 2.2

lo g_{10} (2 x + 4) = 3

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

lo g_{3} (x) = (- 2)

8 x lo g_{10} (x) = 2 x^{2}

What is the answer to log_{x}(1/2187)=7 ?
The answer to log_{x}(1/2187)=7 is x= 1/3
Solve for x: log_{x}(1/2187)=7
The solution is x= 1/3