Question

Solve for x: (3√4) ^2x+1/2=(3√8)^5

Answer 1

LHS = (4^1/3)^(4x+1)/2

=(4)^(4x+1)/6

= (2)^(4x+1)/ 3

RHS = 1/32

= 1/(2^5)

= 2^(-5)

LHS = RHS

SO, 2^(4x+1)/3 = 2^(-5)

=> (4x+1)/3 = -5 { as bases on both the sides are equal, so exponents are to be equal)

=> 4x+1 = -15

=> 4x = -16

$=$

x = -4 ( Answer )

$< >$

$abhishek$

Hope you understand