Question

5. If 5^n-2 x 3^2n–3 = 135, find the value of n.​

Answer 1

Answer:

Solution



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(1)

52n×53=59

Apply law of exponents xa×xb=xa+b

52n+3=59

⇒2n+3=9

2n=9−3

2n=6

n=3

(2)

8×2n+2=32

23×2n+2=25

Apply law of exponents xa×xb=xa+b

23+n+2=25

2n+5=25

⇒n+5=5

n=5−5

n=0

Step-by-step explanation:

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Answer 2

Answer:

5^n-2×3^2n-3=5^1×3^3

well

n-2=1 and 2n-3=3

n=3 and n=3