Math, asked by arulchristy9286, 11 months ago

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

Answers

Answered by kartik2507
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

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