Maths Olympiad | A interesting Exponential Equation Solve for X?

A wonderful tricky exponential problems solutions and answers. Exponential Expression solve for X? Maths for competitive exams.
#maths #mathematics #mathstricks

[@1_Sumit_Solanki]

Let's find exact value of a
(5^a) + (5^a) + (5^a) =60
3•(5^a) = 60
5^a = 60/3
5^a = 20
[If a = 1][5^1 = 5]
[If a = 2][5^2 = 25]
a is in between 1 and 2
[If a = 1.5][5^1.5 ≈ 11.18]
[If a = 1.9][5^1.9 ≈ 21.28]
[If a = 1.8][5^1.8 ≈ 18.12]
a is in between 1.8 and 1.9
[If a = 1.85][5^1.85 ≈ 19.64]
[If a = 1.86][5^1.86 ≈ 19.96]
[If a = 1.87][5^1.87 ≈ 20.28]
a is in between 1.86 and 1.87
[If a = 1.861][5^1.861 ≈ 19.99]
[If a = 1.862][5^1.862 ≈ 20.02]
a is in between 1.861 and 1.862
[If a = 1.8615][5^1.8615 ≈ 20.00]
So, 5^a ≈ 5^ 1.8615 ≈ 20.00
That's why {a = 1.8615 }