getaisha14
getaisha14 getaisha14
  • 25-12-2019
  • Mathematics
contestada

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

Respuesta :

19allenethm
19allenethm 19allenethm
  • 25-12-2019

Answer:

x = 3

Step-by-step explanation:

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

[tex]2^{4} *2^{5} =2^{9}[/tex]

This means that the equation is now

[tex]2^{9}=2^{3x}[/tex]

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

This gives us

[tex]3x=9\\\\x=3[/tex]

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