What is the answer to log_{x}(7x-10)=2 ?

The answer to log_{x}(7x-10)=2 is x=5,x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(7x-10)=2

lo g_{x} (7 x - 10) = 2

x = 5, x = 2

Solution steps

lo g_{x} (7 x - 10) = 2

Apply log rules

\frac{ln ( 7 x - 10 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( 7 x - 10 )}{ln ( x )} ln (x) = 2 ln (x)

Simplify

ln (7 x - 10) = 2 ln (x)

Apply log rules

7 x - 10 = x^{2}

Solve

7 x - 10 = x^{2} : x = 5, x = 2

x = 5, x = 2

Verify Solutions:

x = 5

True

, x = 2

True

The solutions are

x = 5, x = 2

2 lo g_{3} (x + 28) = 6

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

lo g_{64} (x) = - \frac{1}{3}

lo g_{3} (2 x - 9) = 1

ln (7 - 4 x) = - 10

What is the answer to log_{x}(7x-10)=2 ?
The answer to log_{x}(7x-10)=2 is x=5,x=2
Solve for x: log_{x}(7x-10)=2
The solution is x=5,x=2