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If 3^{(x+y)} = 81 and 81^{(x−y) }= 3, then the value of x is
3^{x+y} = 81
3^{x+y} = 3^{4}
x + 4 = 4....(1)
81^{xy} = 3
(3^{4})^{xy} = 3
4(x  y) = 3
3^{4(xy)} = 1
x  y = 1/4....(2)
(1) + (2)
2x = 17/4
x = 17/8
4√6
2^{x} = ∛32
2^{x} = (2)^{5/3}
x = 5/3
Given that √5 = 2.236 and √3 = 1.732, then the value of is
√5 = 2.236
√3 = 1.732
0.252
10^{x }= 1/2
10^{8x }= (10^{x})^{−8}
= (1/2)^{−8}
= 2^{8}
= 256
5^{1/4} × (125)^{0.25}
= 5
= 2
= 2
184 videos111 docs67 tests

184 videos111 docs67 tests
