Question

if x to the power 2 + 1 upon x to the power 2 is equal to 7 find the value of x to the power 3 + 1 upon x to the power 3​

Answer 1

What is the value of x in 2x+2x+2x=192?

2^x+2^x+2^x=192

192 when doing prime factorization we get ,192=2^6+3

therefore, 2^x+2^x+2^x=2^6.3

by taking 2^x common

2^x(1+1+1)=2^6.3

2^x.3=2^6.3

2^x.3/3=2^6.3/3 (by dividing by 3)

2^x=2^6

In an equation when bases or index are same then exponents are same

therefore , x=6