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CBSE Class 11-science Answered

1.log (2*4^x-2 -1) to the base 4 +4=2x
Asked by Vidushi412 | 19 Sep, 2018, 11:21: AM
answered-by-expert Expert Answer
log4 (2 × 4x - 2 - 1) + 4 = 2x
log4 (2 × 22(x - 2) - 1) = 2x - 4
2 × 22(x - 2) - 1 = 42x - 4 
2 × 22(x - 2) - 1 = 22(2x - 4)
2 × 22x - 4 - 1 = 22(2x - 4)
Put 22x - 4 = m
2m - 1 = m2
m = 1
22x - 4  = 1
2x - 4 = 0
x = 2
Answered by Sneha shidid | 20 Sep, 2018, 10:20: AM

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