How do you solve $4^{3 x} = 512$ $4^ { 3x } = 512$ ?

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Answer 1 · 2016-10-24T14:53:22

Express as powers of 2.

$x = \frac{3}{2}$ $x = 3/2$

=> ${(2^{2})}^{3 x} = 512 \leftarrow$ $(2^2)^(3x) = 512" "larr$ it helps to recognise the powers of 2

=> $2^{2 \cdot 3 x}$ $2^(2*3x)$ = $2^{9}$ $2^9$

=> $6 x = 9$ $6x = 9 " "$ (Equating the exponents - the bases are equal)

=> $x = \frac{9}{6}$ $x = 9/6$

= $\frac{3}{2}$ $3/2$ Answer.

How do you solve 43x=5124^ { 3x } = 512?