2 unit maths help please ! (1 Viewer)

abdullion

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I need help with an exponential equation please show working out step by step:
4^a + 3 × 4^a = 8
 

anon101

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im assuming that astroman read the question another way, but I'm reading it as 4^a + (3x4^a) = 8
so first factorise LHS
4^a (1 + 3) = 8
4^a (4) = 8
divide both sides by 4
4^a = 2
LHS 4^a is also equal to 2^2a, so
2^2a = 2
from direct comparison
2a = 1
a = 1/2 hope that helps
 

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