Question

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Answer 1

SoluTion:-

• → 5^2n×5³ = 5¹¹
• → 5^(2n+3) = 5^11
• → 2n+3 = 11
• → 2n = 11-3
• → n = 8/2
• ☞ n = 4.

• → 9×3^n = 3⁷
• → 3²×3^n = 3⁷
• → 3^(2+n) = 7
• → 2+n = 7
• → n = 7-2
• ☞ n = 5

• → 8×2^(2n+2) = 32
• → 2³×2^(2n+2) = 2⁵
• → 3+2n+2 = 5
• → 5+2n = 5
• → 2n = 5-5
• → n = 0/2
• ☞ n = 0

$\Large{✓}$

Hope It Helps You ✌️

Answer 2

Answer:

(i) n=4

(ii) n=5

(iii) n=0

Step-by-step explanation:

(i) $5^{2n}$ × $5^{3}= 5^{11}$

$5^{2n}= 5^{8}$

2n=8

n=4

(ii) 9 × $3^{n} = 3^{7}$

$3^{2}$ × $3^{n} = 3^{7}$

$3^{n} = 3^{5}$

n=5

(iii) 8 × $2^{n+2}$ = 32

$2^{3}$ × $2^{n+2}= 2^{5}$

$2^{n+2}=2^{2}$

n+2=2

n=0

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