What is the answer to log_{c}(c^6)=6 ?

The answer to log_{c}(c^6)=6 is 0 1

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log_{c}(c^6)=6

lo g_{c} (c^{6}) = 6

0 < c < 1 or c > 1

Solution steps

lo g_{c} (c^{6}) = 6

Apply log rules

\frac{ln ( c )}{ln ( c )} = 1

Multiply both sides by

ln (c)

\frac{ln ( c )}{ln ( c )} ln (c) = 1 \cdot ln (c)

Simplify

ln (c) = ln (c)

Apply log rules

c = c

Both sides are equal

True for all c

Verify Solutions:

0 < c < 1 or c > 1

The solution is

0 < c < 1 or c > 1

3 lo g_{3} (x) = 5

ln (x^{2} + x) = 5

lo g_{10} (1 - x) = 0

x, ln (x) = - ln (y)

lo g_{8} (x + 4) - lo g_{8} (x - 3) = 1

What is the answer to log_{c}(c^6)=6 ?
The answer to log_{c}(c^6)=6 is 0<c<1\lor c>1
Solve for c: log_{c}(c^6)=6
The solution is 0<c<1\lor c>1