Question

If(5/2)^5×(5/2)^x+3=(2/5)^-10,then the value of x is what

Answer 1

Answer:

x = 2

Step-by-step explanation:

${ (\frac{5}{2} )}^{5} \times {( \frac{5}{2} )}^{x + 3} = { (\frac{2}{5} )}^{ - 10} \\ {( \frac{5}{2} )}^{5 + x + 3} = { (\frac{5}{2} )}^{10} \\ {( \frac{5}{2} )}^{8 + x} = {( \frac{5}{2}) }^{10} \\ bases \: are \: same \: power \: to \: be \: equated \\ 8 + x = 10 \\ x = 10 - 8 \\ x = 2$

hope you get your answer