What is the answer to log_{x}(5x-6)=2 ?

The answer to log_{x}(5x-6)=2 is x=3,x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(5x-6)=2

lo g_{x} (5 x - 6) = 2

x = 3, x = 2

Solution steps

lo g_{x} (5 x - 6) = 2

Apply log rules

\frac{ln ( 5 x - 6 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( 5 x - 6 )}{ln ( x )} ln (x) = 2 ln (x)

Simplify

ln (5 x - 6) = 2 ln (x)

Apply log rules

5 x - 6 = x^{2}

Solve

5 x - 6 = x^{2} : x = 3, x = 2

x = 3, x = 2

Verify Solutions:

x = 3

True

, x = 2

True

The solutions are

x = 3, x = 2

ln (x) - ln (\frac{1}{x}) = 2

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

lo g_{7} (x + 9) + lo g_{7} (49) = 4

lo g_{3} (x) = 6

lo g_{3} (x) = 0

What is the answer to log_{x}(5x-6)=2 ?
The answer to log_{x}(5x-6)=2 is x=3,x=2
Solve for x: log_{x}(5x-6)=2
The solution is x=3,x=2