Question

find the value of n if 2^n-2×3^2n-3=54​

Answer 1

Answer:

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(1)

5

2n

×5

3

=5

9

Apply law of exponents x

a

×x

b

=x

a+b

5

2n+3

=5

9

⇒2n+3=9

2n=9−3

2n=6

n=3

(2)

8×2

n+2

=32

2

3

×2

n+2

=2

5

Apply law of exponents x

a

×x

b

=x

a+b

2

3+n+2

=2

5

2

n+5

=2

5

⇒n+5=5

n=5−5

n=0