jimmijet
jimmijet jimmijet
  • 22-02-2020
  • Mathematics
contestada

How do I do it when it’s a different base ?

How do I do it when its a different base class=

Respuesta :

GrandNecro
GrandNecro GrandNecro
  • 22-02-2020

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

You gotta use natural log, ln().

Taking the ln() of a number will bring down its exponent:

Example:

If given [tex]x^k[/tex]

then [tex]ln(x^k)=k\cdot ln(x)[/tex]

In your problem, we have...

[tex]2^{2x+4}=1[/tex]

[tex]ln(2^{(2x+4)})= ln(1)[/tex]

[tex](2x+4)ln(2)= ln(1)[/tex]   ,  ln(1)=0 always. memorize this value

[tex](2x+4)ln(2)= 0[/tex]         , divide both side by ln(2)

[tex](2x+4)= 0[/tex]

[tex]2x= -4[/tex]

[tex]x=-2[/tex]

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