Question

a) 7 la puterea 3n-1=49 la puterea 22
b) 15 la puterea n+2 : 5 la puterea 3 + 2 = 9 la puterea 10

Answer 1

a)...⇔ 7³ⁿ⁻¹ = 7⁴⁴ ⇔ 3n-1=44 ⇔3n=44+1 ⇔3n=45 ⇔n=45/3 ⇒n=15
b)... ⇔15ⁿ⁺² / 5⁵ = 9¹⁰ ⇔ (15/5)ⁿ⁺²/⁵ = 3²⁰ ⇔3ⁿ⁺²/⁵=3²⁰ ⇔ n+2/5=20 ⇔ n+2=4 ⇔ n=4-2 ⇒n=2