What is the answer to log_{x}(65)=-6 ?

The answer to log_{x}(65)=-6 is x= 1/(\sqrt[6]{65)}

Solve for x: log_{x}(65)=-6

The solution is x= 1/(\sqrt[6]{65)}

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lo g_{x} (65) = - 6

Decimal Notation

x = 0.49870 \dots

Solution steps

lo g_{x} (65) = - 6

Apply log rules

\frac{1}{lo g _{65} ( x )} = - 6

Multiply both sides by

lo g_{65} (x)

\frac{1}{lo g _{65} ( x )} lo g_{65} (x) = - 6 lo g_{65} (x)

Simplify

1 = - 6 lo g_{65} (x)

Switch sides

- 6 lo g_{65} (x) = 1

Divide both sides by

- 6

lo g_{65} (x) = - \frac{1}{6}

Apply log rules

Verify Solutions:

True

The solution is

x, 8 ln (x) = 1

lo g_{x} (\frac{1}{36}) = 2

y, ln (y) = 4 x + 3

ln (ln (x)) = ln (ln (x))

8 ln (6 - x) = 7

What is the answer to log_{x}(65)=-6 ?
The answer to log_{x}(65)=-6 is x= 1/(\sqrt[6]{65)}
Solve for x: log_{x}(65)=-6
The solution is x= 1/(\sqrt[6]{65)}