What is the answer to log_{x}(2x^2-9x+14)=2 ?

The answer to log_{x}(2x^2-9x+14)=2 is x=7,x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{x}(2x^2-9x+14)=2

lo g_{x} (2 x^{2} - 9 x + 14) = 2

x = 7, x = 2

Solution steps

lo g_{x} (2 x^{2} - 9 x + 14) = 2

Apply log rules

\frac{ln ( 2 x ^{2} - 9 x + 14 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( 2 x ^{2} - 9 x + 14 )}{ln ( x )} ln (x) = 2 ln (x)

Simplify

ln (2 x^{2} - 9 x + 14) = 2 ln (x)

Apply log rules

2 x^{2} - 9 x + 14 = x^{2}

Solve

2 x^{2} - 9 x + 14 = x^{2} : x = 7, x = 2

x = 7, x = 2

Verify Solutions:

x = 7

True

, x = 2

True

The solutions are

x = 7, x = 2

lo g_{10} (5 - 2 x) = 1

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

lo g_{x + 7} (5 x + 5) = 3

ln (2 + x) = 2

ln (ln (x)) = 1.5

What is the answer to log_{x}(2x^2-9x+14)=2 ?
The answer to log_{x}(2x^2-9x+14)=2 is x=7,x=2
Solve for x: log_{x}(2x^2-9x+14)=2
The solution is x=7,x=2