solve for x PLS HELP QUICK I HAVE A FINAL TMRW AND I REALLY NEED TO KNOW HOW TO DO IT
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Answer:
x = -9/2
Step-by-step explanation:
64 = 2^6
if you have the same base, you can set the exponents equal and solve for x.
-2x-3 = 6
-2x = 9
x = -9/2
good luck on your final! you got this!
Step-by-step explanation:
[tex] {2}^{ - 2x - 3} = 64[/tex]
first, get 64 to a base of 2
[tex] {2}^{ - 2x - 3} = {2}^{6} [/tex]
now we can drop the bases
[tex] - 2x - 3 = 6[/tex]
And now we can solve it like any other equation
[tex] - 2x = 6 + 3[/tex]
[tex] - 2x = 9[/tex]
[tex]x = - \frac{9}{2} [/tex]