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find tis please. i need the answr fast

Find Tis Please I Need The Answr Fast class=

Sagot :

Answer:

We have:

[tex]\frac{3^{a+b} }{3^{a-b} }=81=3^{4} \\\\=> 3^{a+b}=3^{4}.3^{a-b} \\\\<=> 3^{a+b}=3^{a-b+4}\\\\=> a + b = a-b+4\\\\<=> 2b=4\\\\<=>b=2[/tex]

we also have:

[tex]\frac{2^{2a+b} }{2^{2b-a} }=128=2^{7}\\\\<=>2^{2a+b}=2^{7}.2^{2b-a}\\\\<=>2^{2a+b}=2^{2b-a+7}\\\\=>2a+b=2b-a+7\\\\<=>3a=b+7\\\\\\[/tex]

with b = 2 => 3a = 9 => a = 3

with a = 3; b = 2 => a + b = 5

Step-by-step explanation:

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