What is the answer to ln(cx^8)=8ln(c)+8ln(x) ?

The answer to ln(cx^8)=8ln(c)+8ln(x) is No Solution for x\in\mathbb{R}

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ln(cx^8)=8ln(c)+8ln(x)

ln (c x^{8}) = 8 ln (c) + 8 ln (x)

No Solution for x \in R

Solution steps

ln (c x^{8}) = 8 ln (c) + 8 ln (x)

Apply log rules

ln (c) + 8 ln (x) = 8 ln (c) + 8 ln (x)

Subtract

8 ln (x)

from both sides

ln (c) + 8 ln (x) - 8 ln (x) = 8 ln (c) + 8 ln (x) - 8 ln (x)

Simplify

ln (c) = 8 ln (c)

The sides are not equal

No Solution for x \in R

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ln (x) + 7 = 0

5000 \cdot lo g_{10} (n) = n

6.5 = - lo g_{10} (x)

2 lo g_{2} (y) + lo g_{4} (y) = 9

What is the answer to ln(cx^8)=8ln(c)+8ln(x) ?
The answer to ln(cx^8)=8ln(c)+8ln(x) is No Solution for x\in\mathbb{R}