Given that \(12^{0.86} = x\), \(12^{0.22} = y\) and \(x^{z} = y^{7}\), then the value of z is close to:
1.79
Since x = 12^0.86 and y = 12^0.22 with x^z = y^7, equating the powers of 12 gives 0.86z = 7 x 0.22 = 1.54, so z = 1.54/0.86 ≈ 1.79. Hence, the correct answer is 1.79.
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