Question

Find the value of x if 2^4 x 2^5 = (2^3)^x​

Answer 1

x = 3

Explanation:

When you multiply two exponents with the same base, you add the powers together. This means that

`2^(4) *2^(5) =2^(9)`

This means that the equation is now

`2^(9)=2^(3x)`

The first we need to do is remove the exponent. To do this, we have to take
`log_2` of each side to remove it

This gives us

`3x=9\\\\x=3`