What is the answer to log_{2x}(x^2-3x+14)=3 ?

The answer to log_{2x}(x^2-3x+14)=3 is x\approx 1.14085…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{2x}(x^2-3x+14)=3

lo g_{2 x} (x^{2} - 3 x + 14) = 3

x \approx 1.14085 \dots

Solution steps

lo g_{2 x} (x^{2} - 3 x + 14) = 3

Apply log rules

\frac{ln ( x ^{2} - 3 x + 14 )}{ln ( 2 x )} = 3

Multiply both sides by

ln (2 x)

\frac{ln ( x ^{2} - 3 x + 14 )}{ln ( 2 x )} ln (2 x) = 3 ln (2 x)

Simplify

ln (x^{2} - 3 x + 14) = 3 ln (2 x)

Apply log rules

x^{2} - 3 x + 14 = 8 x^{3}

Solve

x^{2} - 3 x + 14 = 8 x^{3} : x \approx 1.14085 \dots

x \approx 1.14085 \dots

Verify Solutions:

x \approx 1.14085 \dots

True

The solution is

x \approx 1.14085 \dots

lo g_{3} (x + 3) = - 4

lo g_{10} (- 2 x) lo g_{10} (6) = 1

lo g_{x} (729) = 2

lo g_{4} (2 x - 5) = 0.5

3 lo g_{10} (5 x) = 15

What is the answer to log_{2x}(x^2-3x+14)=3 ?
The answer to log_{2x}(x^2-3x+14)=3 is x\approx 1.14085…
Solve for x: log_{2x}(x^2-3x+14)=3
The solution is x\approx 1.14085…