Japanese l can you solve this exponential problem?? l Olympiad Math

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81*9^x-9^x=180, 9^x=9/4, x=log(9/4)/log9, test, OK,

prollysine

Why you log both sides, when you got 9^(x-1)=1/4? You can use exponent rule and get (9^x)* (9^-1) =1/4, so (9^x)*(1/9)=1/4. Then multiply both sides by 9 and get 9^x=9/4. Now you can use the definition of logarythm and get x=log 9 (9/4)=log 3 (3/2)

adamoksiuta

Curious why you don't just take log base nine of both sides? Is there an advantage to going through common log first and using the change of base formula?

lornacy

Vamos a sacar el número atómico que es el Calcio (Ca) que es el elemento de la fusión de protones que tiene una estrella en sus gases como materia de la formación de materiales químicos de ebullición.

9^⁽*⁺¹⁾ - 9^⁽*⁻¹⁾ = 20

p = 9^⁽*⁾

9.p - 9^⁽⁺¹⁾ . p = 20
9.9^⁽*⁾ - 1/9 . 9^⁽*⁾ = 20
81^⁽*⁾ - 1/9 . 9^⁽*⁾ = 20
80^⁽*⁾/9 . 9^⁽*⁾ = 20
9^⁽*⁾ = 20.9/80
9^⁽*⁾ = 9/4
x = ₉ 9/4
x = Log₃(3/2)

startrek

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