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2 years ago

Find the value of k when 5^-3 + 5^-4 = 5^k x 5^-4

Mathematics

2 answers:

lubasha [3.4K]2 years ago

8 0

Answer:

Given , 1/2 is a solution of the equation

or, 1/4 - 5/4 = -k/2

or, -k/2 = -1

or k = 2

Step-by-step explanation:

GalinKa [24]2 years ago

4 0

Answer:

k= 6/5 or 1.12

Step-by-step explanation:

You isolate the variable by dividing each side by factors that don't contain the variable. This variable (K) is not a whole number so I gave you the fraction and rounded decimal form. Hope this helps :)

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Answer:

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3 years ago

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1 Multiply both sides by

−

3.2

n−3.2.

0.3

(

−

3.2

)

n+0.3=

(n−3.2)

2 Simplify

(

−

3.2

)

(n−3.2) to

(

−

3.2

)

9(n−3.2)

0.3

(

−

3.2

)

n+0.3=

9(n−3.2)

3 Multiply both sides by

0.6

(

−

3.2

)

2n+0.6=9(n−3.2)

4 Expand.

0.6

−

28.8

2n+0.6=9n−28.8

5 Subtract

2n from both sides.

0.6

−

28.8

−

0.6=9n−28.8−2n

6 Simplify

−

28.8

−

9n−28.8−2n to

−

28.8

7n−28.8.

0.6

−

28.8

0.6=7n−28.8

7 Add

28.8

28.8 to both sides.

0.6

28.8

0.6+28.8=7n

8 Simplify

0.6

28.8

0.6+28.8 to

29.4

29.4.

29.4

29.4=7n

9 Divide both sides by

29.4

10 Simplify

29.4

4.2

4.2.

4.2

4.2=n

11 Switch sides.

4.2

n=4.2

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