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?

(2^x) (30³) = (2³) (3³) (4³) (5³)

This one is for all the maths fans who like to play with the numbers.

So were you able to solve the riddle? Leave your answers in the comment section below.

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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

(2^x) (30³) = (2³) (3³) (4³) (5³)

(2^x) (30³) = (120³)

(2^x) = (120³)/ (30³)

(2^x) = (4³)

(2^x) = 64

ln(2^x) = ln(64)

x ln(2) = ln(64)

x = ln(64)/ln(2)

x = 6

Thus x = 6.

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