Question

${4}^{3x - 5} = {2}^{x}$
find the value of x​

Answer 1

$4^{3x-5}=2^x\\2^{2(3x-5)}=2^x\\2^{6x-10}=2^x$

We know that if base is same then power can be equated.

$6x-10=x\\6x-x=10\\5x=10\\x=2$

Answer 2

Answer:

x = 2

Step-by-step explanation:

${4}^{3x - 5} = {2}^{x} \\ = > ( {2}^{2} ) ^{3x - 5} = {2}^{x} \\ = > {2}^{6x - 10} = {2}^{x} \\As \: the \: bases \: are \: equal , powers \: will \: be \: also \: equal \\ = > 6x - 10 = x \\ = > 6x - x = 10 \\ = > 5x = 10 \\ = > x = \frac{10}{5} \\ = > x = 2$