Question

Answer 1

\(a,2^x=17+15\\ 2^x=32\\ 2^x=2^5\\ x=5\\ b,\left(7x-11\right)^3=1000\\ \left(7x-11\right)^3=10^3\\ 7x-11=10\\ 7x=21\\ x=3\\ c,x^3=64\\ x^3=4^3\\ x=4\\ d,x^{2021}=x^{10}\\ =>x=\left\{1;0\right\}\)

Answer 2

`a)2^x-15=17`

`2^x=17+15=32`

`2^x=2^5`

`x=5`

 

`b)(7x-11)^3=2^5 .5^2+200`

`(7x-11)^3=32.25+200=1000`

`(7x-11)^3=10^3`

`7x-11=10`

`7x=21`

`x=21:7=3`

 

`c)x^3=4^2 .2^2`

`x^3=16.4=64`

`x^3=4^3`

`x=4`

 

`d)x^2021=x^10`

`x^2021-x^10=0`

`x^10(x^2011-1)=0`

`@TH1:x^10=0=>x=0`

`@TH2:x^2011-1=0=>x^2011=1=>x=1`