What is the answer to solvefor x,log_{x}(36)=1.842 ?

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

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solvefor x,log_{x}(36)=1.842

solve for

x, lo g_{x} (36) = 1.842

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

Decimal Notation

x = 6.99677 \dots

Solution steps

lo g_{x} (36) = 1.842

Apply log rules

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

Multiply both sides by

lo g_{36} (x)

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

Simplify

1 = 1.842 lo g_{36} (x)

Switch sides

1.842 lo g_{36} (x) = 1

Multiply both sides by

1000

1842 lo g_{36} (x) = 1000

Divide both sides by

1842

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

Apply log rules

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

Verify Solutions:

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

True

The solution is

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

lo g_{10} (x) = 4.4 + 1.5 (2.8)

6.8 = - lo g_{10} (x)

ln ((x + 7)^{7}) + 9 = 30

lo g_{10} (3 x + 1) = 1 - lo g_{10} (x)

x, ln (x - 1) = ln (y + 3) + c

What is the answer to solvefor x,log_{x}(36)=1.842 ?
The answer to solvefor x,log_{x}(36)=1.842 is x=36^{500/921}