Find the value of x: 2^3 \times 3^4 \times 1080 \div 15 = 6^x

RRB Group-D Model Paper 11 with answers for online practice

Question : 17 of 100

Marks: +1, -0

Find the value of x:

2^3 × 3^4 × 1080 ÷ 15 = 6^x

Solution:

Given,

2^3× 3^4× 1080 ÷ 15 = 6^x

⇒2^3× 3^4× 72 = 6^x

⇒2^3× 3^4× (2 × 6^2) = 6^x

⇒ 2^3× 3^4× 6^2= 6^x

⇒ (2 × 3)^4× 6^2= 6^x [∵ x^m × y^m = (xy)^m]

⇒ 6^4× 6^2= 6^x

⇒ 6^(4 + 2) = 6^x

⇒ x = 6

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