What is the answer to x*ln(x^6)=16ln(x) ?

The answer to x*ln(x^6)=16ln(x) is x=1,x= 8/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x*ln(x^6)=16ln(x)

x \cdot ln (x^{6}) = 16 ln (x)

x = 1, x = \frac{8}{3}

Decimal Notation

x = 1, x = 2.66666 \dots

Solution steps

x ln (x^{6}) = 16 ln (x)

Apply log rules

ln (x) (3 x - 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

ln (x) = 0 or 3 x - 8 = 0

Solve

ln (x) = 0 : x = 1

Solve

3 x - 8 = 0 : x = \frac{8}{3}

Verify Solutions:

x = 1

True

, x = \frac{8}{3}

True

The solutions are

x = 1, x = \frac{8}{3}

lo g_{2} (x + 7) + lo g_{2} (x + 1) = 4

lo g_{10} (n) + lo g_{10} (5) = 1

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

ln (7 x + 6) - ln (x) = ln (8)

lo g_{2} (x - 1) + lo g_{2} (x + 3) = 5

What is the answer to x*ln(x^6)=16ln(x) ?
The answer to x*ln(x^6)=16ln(x) is x=1,x= 8/3
Solve for x: x*ln(x^6)=16ln(x)
The solution is x=1,x= 8/3