Question

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

Answer 1

Answer:

x = 3

Step-by-step 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

$3x=9\\\\x=3$