What is the answer to 6log_{7}(-7x)=-6 ?

The answer to 6log_{7}(-7x)=-6 is x=-1/49

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6log_{7}(-7x)=-6

6 lo g_{7} (- 7 x) = - 6

x = - \frac{1}{49}

Decimal Notation

x = - 0.02040 \dots

Solution steps

6 lo g_{7} (- 7 x) = - 6

Divide both sides by

6

lo g_{7} (- 7 x) = - 1

Apply log rules

- 7 x = \frac{1}{7}

Solve

- 7 x = \frac{1}{7} : x = - \frac{1}{49}

x = - \frac{1}{49}

Verify Solutions:

x = - \frac{1}{49}

True

The solution is

x = - \frac{1}{49}

lo g_{x} (8 - 2 x) = 2

ln (2 x + 1) - ln (x - 1) = 4

lo g_{2} (\frac{x}{2}) = 5

x, ln (y) = lo g_{10} (x)

y, z - ln (y) = 0

What is the answer to 6log_{7}(-7x)=-6 ?
The answer to 6log_{7}(-7x)=-6 is x=-1/49
Solve for x: 6log_{7}(-7x)=-6
The solution is x=-1/49