3x + 5 = 3x + 3 + (24/3) হলে, x এর মান কত?

3^{x + 5}= 3^{x + 3} + (24/3) হলে, x এর মান কত?

A -3

B 3

C 4

D -4

Solution

Correct Answer: Option A

3^{x + 5}= 3^{x + 3} + (24/3)
3^x .3⁵ = 3^x 3³ + (24/3)
3^x. 3⁵.3 = 3^x 3³ .3 + (24/3).3
3^x .3⁶ = 3^x. 3⁴+ 24
3^x .3⁶ 3^x. 3⁴ = 24
3^x. 3⁴(3² - 1) = 24
3^{x + 4} .8 = 24
3^{x + 4} = 24/8
3^{x + 4} = 3
x + 4 = 1
x = - 3

Solution

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