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1 vote
Solve 1 over 36 = 6x^−3.
plz help

User Rubms
by
6.0k points

2 Answers

4 votes

Answer: x = 1

Explanation:

Sorry for the delay

Let's solve your equation step-by-step.

1

36

=6x−3

Step 1: Flip the equation.

6x−3=

1

36

Step 2: Solve Exponent.

6x−3=

1

36

log(6x−3)=log(

1

36

)(Take log of both sides)

(x−3)*(log(6))=log(

1

36

)

x−3=

log(

1

36

)

log(6)

x−3=−2

x−3+3=−2+3(Add 3 to both sides)

x=1

User Jeff Noel
by
5.9k points
4 votes
-----------------------
1/36 = 6x⁻³

1/36 = 6 x 1/x^3

1/36 = 6/x^3

1/36x^3 = 6

x^3/36 = 6

x^3 = 6 x 36

x^3 = 216

x = ∛216

x = 6
-----------------------
User Rejayi CS
by
5.9k points