Question

Solve X


`{16}^{ (1)/(5) } * {2}^(x) = {8}^{ (3)/(4) }`
I got X= 9/10
am I right?​

Answer 1

16^1/5 = 2^4/5 .. & .. 8^3/4 = 2^9/4

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2^4/5 × 2^x = 2^9/4

2^16/20 × 2^x = 2^45/20

2^[ ( 16/20 ) + x ] = 2^45/20

16/20 + x = 45/20

x = 45/20 - 16/20

x = 29/20