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Math Algebra Equation Problem

Math Algebra Equation Problem Solution - 26 October

Can you find out the value of x in the following equation?

(2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)

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Solution
(2^x)(30^3) = (2^3) (3^3) (4^3) (5^3)

(2^x)(30^3) = (120^3)

(2^x) = (120^3)/ (30^3)

(2^x) = (4^3)

(2^x) = 64

ln(2^x) = ln(64)

x ln(2) = ln(64)

x = ln(64)/ln(2)

x = 6

Thus x = 6.