What is the answer to log_{y}(36)=1.842 ?

The answer to log_{y}(36)=1.842 is y=36^{500/921}

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log_{y}(36)=1.842

lo g_{y} (36) = 1.842

y = 3 6^{\frac{500}{921}}

Decimal Notation

y = 6.99677 \dots

Solution steps

lo g_{y} (36) = 1.842

Apply log rules

\frac{1}{lo g _{36} ( y )} = 1.842

Multiply both sides by

lo g_{36} (y)

\frac{1}{lo g _{36} ( y )} lo g_{36} (y) = 1.842 lo g_{36} (y)

Simplify

1 = 1.842 lo g_{36} (y)

Switch sides

1.842 lo g_{36} (y) = 1

Multiply both sides by

1000

1842 lo g_{36} (y) = 1000

Divide both sides by

1842

lo g_{36} (y) = \frac{500}{921}

Apply log rules

y = 3 6^{\frac{500}{921}}

Verify Solutions:

y = 3 6^{\frac{500}{921}}

True

The solution is

y = 3 6^{\frac{500}{921}}

x, lo g_{10} (3 x + 7) = 2

x, lo g_{2} (x^{2} y) = - 3

lo g_{27} (x) = \frac{- 2}{3}

8.89 = lo g_{10} (\frac{1}{x})

lo g_{10} (2 x + 5) = lo g_{10} (7)

What is the answer to log_{y}(36)=1.842 ?
The answer to log_{y}(36)=1.842 is y=36^{500/921}
Solve for y: log_{y}(36)=1.842
The solution is y=36^{500/921}