What is the answer to ln(cx^6)=6ln(c)+6ln(x) ?

The answer to ln(cx^6)=6ln(c)+6ln(x) is No Solution for x\in\mathbb{R}

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ln(cx^6)=6ln(c)+6ln(x)

ln (c x^{6}) = 6 ln (c) + 6 ln (x)

No Solution for x \in R

Solution steps

ln (c x^{6}) = 6 ln (c) + 6 ln (x)

Apply log rules

ln (c) + 6 ln (x) = 6 ln (c) + 6 ln (x)

Subtract

6 ln (x)

from both sides

ln (c) + 6 ln (x) - 6 ln (x) = 6 ln (c) + 6 ln (x) - 6 ln (x)

Simplify

ln (c) = 6 ln (c)

The sides are not equal

No Solution for x \in R

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

lo g_{3} ((r + 6)^{2}) = 2

lo g_{4} (x - 3) + lo g_{4} (x + 9) = 3

x, ln (3 x - 10) = 5

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

What is the answer to ln(cx^6)=6ln(c)+6ln(x) ?
The answer to ln(cx^6)=6ln(c)+6ln(x) is No Solution for x\in\mathbb{R}