Question

Solve : $(4^x{)}^7=(4^6{)}^2$

Answer 1

Consider the given equation,

$\Rightarrow {\left(4^x\right)}^7={\left(4^6\right)}^2$

$\Rightarrow 4^{x\times 7}=4^{6\times 2}$

$\Rightarrow 4^{7x}=4^{12}$

$\Rightarrow 7x=12$

$\Rightarrow x=\frac{12}{7}$

Hence, this is the answer.