Find Value of x in (2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)
Have fun with numbers with the help of this riddle.
Can you find out the value of x in the following equation?
(2x) (303) = (23) (33) (43) (53)
This one is for all the maths fans who like to play with the numbers.
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Answer: 6.
Explanation:
To solve this equation by actually calculating the figures would be a huge task even with a calculator…
So there has to be an easier way to solve it…right?
Yes
(2x) (303) = (23) (33) (43) (53)
(2x) (303) = (1203)
(2x) = (1203)/ (303)
(2x) = (43)
(2x) = 64
ln(2x) = ln(64)
x ln(2) = ln(64)
x = ln(64)/ln(2)
x = 6
Thus x = 6.