Question

if 5 power 6 multiplied by 5 power 2x=5 power 10 then find x

Answer 1

hey mate
5^6×5^2x =5^10
5^6+2x =5^10
base are equal so power equal
so, 6+2x =10
2x =10-6 =4
X =2
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Answer 2

Answer :


${5}^{6} \times {5}^{2x} = {5}^{10} \\ \\ calculate \: the \: product \\ \\ {5}^{6 + 2x} = {5}^{10} \\ \\ {5}^{2x + 6} = 5 {}^{10} \\ \\ since \: the \: bases \: are \: equal \: so \: \\ set \: the \: exponents \: equal \\ \\ 2x + 6 = 10 \\ \\ move \: constant \: to \: right \\ \\ 2x = 10 - 6 \\ \\ 2x = 4 \\ \\ x = \frac{4}{2} \\ \\ x = 2$


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