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3 years ago

What is the equation of log x 729=3?

Mathematics

1 answer:

pishuonlain [190]3 years ago

7 0

Answer:

Step-by-step explanation:

Move 729 to the left side of the equation by subtracting it from both sides. x 3 − 729 = 0 Factor the left side of the equation. Rewrite 729 as 9

. x

−

. Since both terms are perfect cubes, factor using the difference of cubes formula, a

−

(

−

)

(

2+ab+b2). Where a

=x and b=9. (x−9)(x2+x⋅9+92)=0

. Simplify. Move 9 to the left of x

. (x−9)(x2+9x+92)=0. Raise 9 to the power of 2

. (x

−9

)(

+81

)=0

. Set x

−9 equal to 0 and solve for x. Set the factor equal to 0. x−

0. Add 9 to both sides of the equation. x=9

. Set x2+

81 equal to 0 and solve for x

. Set the factor equal to 0

. x2+9x+81=0. Use the quadratic formula to find the solutions. −b±√b2−4(ac) 2a. Substitute the values a=1, b=9, and c=81 into the quadratic formula and solve for x. −9±√92−4⋅ (1⋅81

) 2⋅

1 Simplify. Simplify the numerator. Raise 9 to the power of 2. x=−9±√81−4⋅(1⋅81) 2⋅1. Multiply

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Tap for fewer steps...

Factor

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Pull terms out from under the radical.

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The final answer is the combination of both solutions.

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adelina 88 [10]

Method One
Your calculator might be able to do this. Mine does it like this.
6
nCr
2
=
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Method 2
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Answer:

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Step-by-step explanation:

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/ /

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