Question 978393


As I understand,  you need to solve an equation


{{{32^x}}} = {{{8^(2x-1)}}},


correct?


If so,  then let us transform this equation step by step.

Since  {{{32}}} = {{{2^5}}}  and  {{{8}}} = {{{2^3}}},  we have


{{{32^(5x)}}} = {{{2^(3*(2x-1))}}}.


It implies that


5x = 3*(2x - 1).


Solve this equation simplifying it step by step:


5x = 6x - 3,

-x = -3,

x = 3. 


Check yourself the solution  x = 3.


<B>Answer</B>. &nbsp;x = 3.