What is the answer to log_{y}(4826809)=6 ?

The answer to log_{y}(4826809)=6 is y=13

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log_{y}(4826809)=6

lo g_{y} (4826809) = 6

y = 13

Solution steps

lo g_{y} (4826809) = 6

Apply log rules

\frac{1}{lo g _{4826809} ( y )} = 6

Multiply both sides by

lo g_{4826809} (y)

\frac{1}{lo g _{4826809} ( y )} lo g_{4826809} (y) = 6 lo g_{4826809} (y)

Simplify

1 = 6 lo g_{4826809} (y)

Switch sides

6 lo g_{4826809} (y) = 1

Divide both sides by

6

lo g_{4826809} (y) = \frac{1}{6}

Apply log rules

y = 13

Verify Solutions:

y = 13

True

The solution is

y = 13

lo g_{3} (\frac{2 + x}{2 - x}) = 3

lo g_{10} (5 x - 1) = 2 lo g_{10} (x - 2)

lo g_{10} (x) - lo g_{10} (2) = 1

lo g_{7} (x^{2} - 3 x + 3) = 0

lo g_{3} (7 x - 15) = 3

What is the answer to log_{y}(4826809)=6 ?
The answer to log_{y}(4826809)=6 is y=13
Solve for y: log_{y}(4826809)=6
The solution is y=13