if 2^x+3=4^x-1 then value of x is
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Answer:
2^x+3 = 4^x-1
2^x+3 = 2²^x -1
2^x = y
y+3= y²-1
-y²+y+3+1 = 0
-y²+y+4 = 0
y²-y-4 =0
y = -b+/-√b²-4ac/2a
y = 1+/-√1²-4×1×-4 /2×1
y = 1+/- √17/2
y = 1+√17 /2
y = 1-√17 /2
2^x = (1+√17) / 2
x = ln{(1+√17)/2}/ ln(2)
2^x = (1-√17) / 2
x = ln{(1-√17)/2 }/ ln(2)
Answered by
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Answer:
2^x=4
Step-by-step explanation:
2^x+3=4^x-1
=>2^x-4^x= -1-3
=>-2^x=-4
=>2^x=4
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